SELECT TO_CHAR(pDate, 'Mon dd, yyyy', 'NLS_DATE_LANGUAGE = American') FROM DUAL;
SELECT TO_CHAR(pDate, 'Mon dd, yyyy', 'NLS_DATE_LANGUAGE = English') FROM DUAL;

CREATE FUNCTION to_char_abbr_month(
  in_date DATE,
  in_nls  VARCHAR2
) RETURN VARCHAR2 DETERMINISTIC
IS
BEGIN
  RETURN REGEXP_REPLACE(
           TRIM( TO_CHAR( in_date, 'Month', in_nls ) ),
           '(w{3})w{2,}',
           '1.'
         )
         || ' ' || TO_CHAR( in_date, 'dd, yyyy', in_nls );
END;
/

SELECT to_char_abbr_month(
         DATE '2016-01-01',
         'NLS_DATE_LANGUAGE = American'
       )
FROM   DUAL

Jan. 01, 2016