begin{tabular}{|c|c|c|}
hline
parbox[t]{0.3textwidth}
{vspace{-3cm}
left
begin{eqnarray}
F=z-frac{1}{2}z^2\
h=z\
g=frac{1}{2}z^2\
f=z+frac{1}{2}overline{z}^2
end{eqnarray}
right.
}
&parbox[b]{0.3textwidth}{includegraphics[width=linewidth]{Fig10_1.png}}
&parbox[t]{0.3textwidth}{includegraphics[width=linewidth]{Fig10_2.png}}
\hline
end{tabular}\

documentclass{article}
%begin{document} this has to be after the usepackage lines
usepackage[export]{adjustbox}
usepackage{mathtools}

usepackage{booktabs, longtable, makecell, tabularx}
newcolumntype{C}{>{centeringarraybackslash}X}

begin{document}

begin{tabularx}{linewidth}{|C|C|C|}
    hline
$
begin{cases}
  F=z-frac{1}{2}z^2,   &   \
  g=frac{1}{2}z^2,     &   \
  f=z+frac{1}{2}overline{z}^2&
end{cases}
$
    &   includegraphics[width=linewidth,valign=c,margin=0pt 3pt 0pt 3pt]{example-image-a}
        &   includegraphics[width=linewidth,valign=c]{example-image-b}    \
    hline
end{tabularx}
end{document}