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Jan 7th, 2019
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  1. \RequirePackage{fix-cm} %% <- makes computer modern scale continuously
  2. \documentclass{standalone}
  3.  
  4. \usepackage{amsmath}
  5. \DeclareMathOperator{\WhittakerM}{WhittakerM}
  6.  
  7. \usepackage[fontsize=2.9pt]{scrextend}
  8. \medmuskip=.29\medmuskip
  9. \thickmuskip=.29\thickmuskip
  10. \thinmuskip=.29\thinmuskip
  11. \scriptspace=.29\scriptspace
  12. \nulldelimiterspace=.29\nulldelimiterspace
  13.  
  14. \begin{document}
  15.  
  16. \def\monstrosity{%
  17. w \left( x,y \right) ={\it \_F1} \left( {\frac {1}{{b}^{2} \left( 3\,{y}^{2}+3\,{x}^{2\,m}{b}^{2}+4\,{m}^{2}{y}^{2}+9\,{n}^{2}{y}^{2}+9\,n{y}^{2}+3\,{y}^{2}{n}^{3}+7\,{y}^{2}m+6\,b{x}^{m}y+7\,m{x}^{2\,m}{b}^{2}+4\,{y}^{2}{m}^{2}n+7\,{y}^{2}m{n}^{2}+14\,{y}^{2}mn+6\,{x}^{m}yb{n}^{3}+18\,{x}^{m}yb{n}^{2}+18\,{x}^{m}ybn+3\,{x}^{2\,m}{b}^{2}{n}^{3}+9\,{x}^{2\,m}{b}^{2}{n}^{2}+9\,{x}^{2\,m}{b}^{2}n+28\,{x}^{m}ybmn+8\,b{m}^{2}{x}^{m}y+14\,bm{x}^{m}y+14\,{x}^{2\,m}{b}^{2}mn+8\,{x}^{m}yb{m}^{2}n+14\,{x}^{m}ybm{n}^{2}+4\,{x}^{2\,m}{b}^{2}{m}^{2}n+7\,{x}^{2\,m}{b}^{2}m{n}^{2}+4\,{x}^{2\,m}{b}^{2}{m}^{2} \right) } \left( 12\,{{\rm e}^{-6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{9}^{-{\frac {m}{2\,m+n+1}}}{3}^{-{\frac {1+n}{2\,m+n+1}}}{b}^{2}{m}^{2}+27\,{{\rm e}^{-6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{9}^{-{\frac {m}{2\,m+n+1}}}{3}^{-{\frac {1+n}{2\,m+n+1}}}{b}^{2}{n}^{2}+21\,{{\rm e}^{-6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{9}^{-{\frac {m}{2\,m+n+1}}}{3}^{-{\frac {1+n}{2\,m+n+1}}}{b}^{2}m+27\,{{\rm e}^{-6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{9}^{-{\frac {m}{2\,m+n+1}}}{3}^{-{\frac {1+n}{2\,m+n+1}}}{b}^{2}n+{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{2}^{{\frac {m}{2\,m+n+1}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b+4\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) n+4\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {m}^{3}+{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {n}^{3}+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {n}^{2}+4\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {m}^{3}+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {m}^{2}+3\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {n}^{2}+10\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {m}^{2}+3\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) n+5\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) m+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) m+{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{2}^{{\frac {m}{2\,m+n+1}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {n}^{3}+10\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{m}^{2}n+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}m{n}^{2}+16\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}mn+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{m}^{2}n+10\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}mn+5\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}m{n}^{2}+3\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{2\,m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{4}+{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{2}^{{\frac {m}{2\,m+n+1}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}+{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}+{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{2}^{{\frac {m}{2\,m+n+1}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{n}^{3}+5\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}m+3\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}n+4\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{m}^{3}+{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{n}^{3}+4\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{m}^{3}+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{m}^{2}+3\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{n}^{2}+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}m+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}n+10\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{m}^{2}+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {b}^{2}{n}^{2}+{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{2}^{{\frac {m}{2\,m+n+1}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) +{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) +24\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{3}m+32\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) bmn+20\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{m}^{2}n+16\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) bm{n}^{2}+20\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) bmn+16\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{m}^{2}n+10\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) bm{n}^{2}+12\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{1+n}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{2}{m}^{2}+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{3}{n}^{2}+24\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{3}{m}^{2}+12\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{1+n}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{2}m+3\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{1+n}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{2}{n}^{2}+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{1+n}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{2}n+12\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{2\,m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{4}mn+24\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{3}mny+12\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{1+n}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{2}mn{y}^{2}+{{\rm e}^{-6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{9}^{{\frac {m+n+1}{2\,m+n+1}}}{3}^{-{\frac {1+n}{2\,m+n+1}}}{b}^{2}+12\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{3}n+12\,{{\rm e}^{-6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{9}^{-{\frac {m}{2\,m+n+1}}}{3}^{-{\frac {1+n}{2\,m+n+1}}}{b}^{2}{m}^{2}n+21\,{{\rm e}^{-6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{9}^{-{\frac {m}{2\,m+n+1}}}{3}^{-{\frac {1+n}{2\,m+n+1}}}{b}^{2}m{n}^{2}+42\,{{\rm e}^{-6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{9}^{-{\frac {m}{2\,m+n+1}}}{3}^{-{\frac {1+n}{2\,m+n+1}}}{b}^{2}mn+{{\rm e}^{-6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{9}^{{\frac {m+n+1}{2\,m+n+1}}}{3}^{-{\frac {1+n}{2\,m+n+1}}}{b}^{2}{n}^{3}+12\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{2\,m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{4}m+20\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{m}^{2}+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{m}^{3}+4\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{n}^{3}+5\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) m{n}^{2}+10\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {m}^{2}n+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) m{n}^{2}+12\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{n}^{2}+10\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) bm+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{m}^{3}+12\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) bn+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{n}^{2}+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) bn+16\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) bm+16\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{m}^{2}+10\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) mn+16\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( {\frac {m+n+1}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) mn+8\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-2\,m}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) {m}^{2}n+3\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{1+n}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}{y}^{2}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{2}+{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{2}^{{\frac {m}{2\,m+n+1}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{-m} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) b{n}^{3}+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}y\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{3}+6\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{2\,m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{4}n+12\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{2\,m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{4}{m}^{2}+3\,{{\rm e}^{-3\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}}}}{27}^{-{\frac {m}{2\,m+n+1}}}{9}^{-{\frac {1+n}{2\,m+n+1}}}{x}^{2\,m+n+1}{2}^{-{\frac {m+n+1}{2\,m+n+1}}} \left( {\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) ^{-{\frac {m+n+1}{2\,m+n+1}}}\WhittakerM \left( -{\frac {m}{2\,m+n+1}},1/2\,{\frac {4\,m+3+3\,n}{2\,m+n+1}},6\,{\frac {{b}^{2}{x}^{2\,m+n+1}a}{2\,m+n+1}} \right) a{b}^{4}{n}^{2} \right) } \right)
  18. }
  19.  
  20. $\monstrosity$
  21.  
  22. \end{document}
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