Hypergeometric2F1
Hypergeometric Functions
Hypergeometric2F1[
a
,
b
,c,
z
]
Specific values
For rational parameters with denominators 5 and fixed
z
(21776 formulas)
For fixed
z
and
a
=-29/5,
b
>=
a
(522 formulas)
For fixed
z
and
a
=-28/5,
b
>=
a
(520 formulas)
For fixed
z
and
a
=-27/5,
b
>=
a
(518 formulas)
For fixed
z
and
a
=-26/5,
b
>=
a
(516 formulas)
For fixed
z
and
a
=-24/5,
b
>=
a
(542 formulas)
For fixed
z
and
a
=-23/5,
b
>=
a
(538 formulas)
For fixed
z
and
a
=-22/5,
b
>=
a
(534 formulas)
For fixed
z
and
a
=-21/5,
b
>=
a
(530 formulas)
For fixed
z
and
a
=-19/5,
b
>=
a
(552 formulas)
For fixed
z
and
a
=-18/5,
b
>=
a
(546 formulas)
For fixed
z
and
a
=-17/5,
b
>=
a
(540 formulas)
For fixed
z
and
a
=-16/5,
b
>=
a
(534 formulas)
For fixed
z
and
a
=-14/5,
b
>=
a
(552 formulas)
For fixed
z
and
a
=-13/5,
b
>=
a
(544 formulas)
For fixed
z
and
a
=-12/5,
b
>=
a
(536 formulas)
For fixed
z
and
a
=-11/5,
b
>=
a
(528 formulas)
For fixed
z
and
a
=-9/5,
b
>=
a
(542 formulas)
For fixed
z
and
a
=-8/5,
b
>=
a
(532 formulas)
For fixed
z
and
a
=-7/5,
b
>=
a
(522 formulas)
For fixed
z
and
a
=-6/5,
b
>=
a
(512 formulas)
For fixed
z
and
a
=-4/5,
b
>=
a
(522 formulas)
For fixed
z
and
a
=-3/5,
b
>=
a
(510 formulas)
For fixed
z
and
a
=-2/5,
b
>=
a
(498 formulas)
For fixed
z
and
a
=-1/5,
b
>=
a
(486 formulas)
For fixed
z
and
a
=1/5,
b
>=
a
(494 formulas)
For fixed
z
and
a
=2/5,
b
>=
a
(480 formulas)
For fixed
z
and
a
=3/5,
b
>=
a
(466 formulas)
For fixed
z
and
a
=4/5,
b
>=
a
(452 formulas)
For fixed
z
and
a
=1,
b
>=
a
(728 formulas)
For fixed
z
and
a
=6/5,
b
>=
a
(430 formulas)
For fixed
z
and
a
=7/5,
b
>=
a
(414 formulas)
For fixed
z
and
a
=8/5,
b
>=
a
(398 formulas)
For fixed
z
and
a
=9/5,
b
>=
a
(382 formulas)
For fixed
z
and
a
=2,
b
>=
a
(592 formulas)
For fixed
z
and
a
=11/5,
b
>=
a
(363 formulas)
For fixed
z
and
a
=12/5,
b
>=
a
(345 formulas)
For fixed
z
and
a
=13/5,
b
>=
a
(327 formulas)
For fixed
z
and
a
=14/5,
b
>=
a
(309 formulas)
For fixed
z
and
a
=3,
b
>=
a
(452 formulas)
For fixed
z
and
a
=16/5,
b
>=
a
(285 formulas)
For fixed
z
and
a
=17/5,
b
>=
a
(265 formulas)
For fixed
z
and
a
=18/5,
b
>=
a
(245 formulas)
For fixed
z
and
a
=19/5,
b
>=
a
(225 formulas)
For fixed
z
and
a
=4,
b
>=
a
(308 formulas)
For fixed
z
and
a
=21/5,
b
>=
a
(197 formulas)
For fixed
z
and
a
=22/5,
b
>=
a
(175 formulas)
For fixed
z
and
a
=23/5,
b
>=
a
(153 formulas)
For fixed
z
and
a
=24/5,
b
>=
a
(131 formulas)
For fixed
z
and
a
=5,
b
>=
a
(172 formulas)
For fixed
z
and
a
=26/5,
b
>=
a
(102 formulas)
For fixed
z
and
a
=27/5,
b
>=
a
(78 formulas)
For fixed
z
and
a
=28/5,
b
>=
a
(54 formulas)
For fixed
z
and
a
=29/5,
b
>=
a
(30 formulas)
For fixed
z
and
a
=6,
b
>=
a
(48 formulas)
HypergeometricPFQ[{},{},
z
]
HypergeometricPFQ[{},{
b
},
z
]
HypergeometricPFQ[{
a
},{},
z
]
HypergeometricPFQ[{
a
},{
b
},
z
]
HypergeometricPFQ[{
a
1
},{
b
1
,
b
2
},
z
]
HypergeometricPFQ[{
a
1
,
a
2
},{
b
1
,
b
2
},
z
]
HypergeometricPFQ[{
a
1
,
a
2
},{
b
1
,
b
2
,
b
3
},
z
]
HypergeometricPFQ[{
a
1
,
a
2
,
a
3
},{
b
1
,
b
2
},
z
]
HypergeometricPFQ[{
a
1
,
a
2
,
a
3
,
a
4
},{
b
1
,
b
2
,
b
3
},
z
]
HypergeometricPFQ[{
a
1
,
a
2
,
a
3
,
a
4
,
a
5
},{
b
1
,
b
2
,
b
3
,
b
4
},
z
]
HypergeometricPFQ[{
a
1
,
a
2
,
a
3
,
a
4
,
a
5
,
a
6
},{
b
1
,
b
2
,
b
3
,
b
4
,
b
5
},
z
]
HypergeometricPFQ[{
a
1
,...,
a
p
},{
b
1
,...,
b
q
},
z
]
