DLMF Tables

15. Hypergeometric Function


Fabcx denotes the hypergeometric function F (also known as the generalized hypergeometric function F12abcx); see DLMF (15.2.1).
This function is not defined when c is a non-positive integer. Computations are for real a,b,c and x, which currently must satisfy all of the conditions:
  • |x|<1,
  • either a or b must be integer,
  • if a,b are non-negative integers and c is an integer, then c>min(a,b),
  • if a,c are integers but b is not, then c>a,
  • if b,c are integers but a is not, then c>b.
Evaluate Fabcx as a Tabulation or Comparison?
Get function arguments from form or data file?
Specify the data file to compare tofor arguments:
Note: The lines in the data file must contain values for a, b, c, x and Fabcx in that order, separated by commas or spaces.
Specify grid for function parameters and arguments:
Choose a starting from ending with stepping by
Choose b starting from ending with stepping by
Choose c starting from ending with stepping by
Choose x starting from ending with stepping by
Show output to digits, the number of digits in file, using
Return unformatted output only