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DLMF Tables
13. Confluent Hypergeometric Functions
16. Generalized Hypergeometric Functions and Meijer
G
-Function
15. Hypergeometric Function
Choose a function
Hypergeometric F
F
a
b
c
x
denotes the hypergeometric function
F
(also known as the generalized hypergeometric function
F
1
2
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 to
for 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
from list
linearly
starting from
ending with
stepping by
Choose
b
from list
linearly
starting from
ending with
stepping by
Choose
c
from list
linearly
starting from
ending with
stepping by
Choose
x
from list
linearly
starting from
ending with
stepping by
Show output to
digits,
the number of digits in file,
using
interval mode
round to nearest (even)
round towards +infinity
round towards -infinity
round away from 0
round towards 0
Return
unformatted
output only