G

15. Hypergeometric Function

Choose a function

F (a, b, c, x)

denotes the hypergeometric function

F

(also known as the generalized hypergeometric function

{}_{2}F_{1} (a, b, c, x)

); 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

F (a, b, c, x)

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

F (a, b, c, x)

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