Hypergeometric2F1
Hypergeometric Functions
Hypergeometric2F1[
a
,
b
,c,
z
]
Specific values
For rational parameters with denominators 8 and fixed
z
and
a
>0 (21774 formulas)
For fixed
z
and
a
=1/8,
b
>=
a
(1224 formulas)
For fixed
z
and
a
=1/4,
b
>=
a
(382 formulas)
For fixed
z
and
a
=3/8,
b
>=
a
(1188 formulas)
For fixed
z
and
a
=1/2,
b
>=
a
(368 formulas)
For fixed
z
and
a
=5/8,
b
>=
a
(983 formulas)
For fixed
z
and
a
=3/4,
b
>=
a
(354 formulas)
For fixed
z
and
a
=7/8,
b
>=
a
(948 formulas)
For fixed
z
and
a
=1,
b
>=
a
(728 formulas)
For fixed
z
and
a
=9/8,
b
>=
a
(1059 formulas)
For fixed
z
and
a
=5/4,
b
>=
a
(344 formulas)
For fixed
z
and
a
=11/8,
b
>=
a
(1022 formulas)
For fixed
z
and
a
=3/2,
b
>=
a
(328 formulas)
For fixed
z
and
a
=13/8,
b
>=
a
(834 formulas)
For fixed
z
and
a
=7/4,
b
>=
a
(312 formulas)
For fixed
z
and
a
=15/8,
b
>=
a
(796 formulas)
For fixed
z
and
a
=2,
b
>=
a
(592 formulas)
For fixed
z
and
a
=17/8,
b
>=
a
(885 formulas)
For fixed
z
and
a
=9/4,
b
>=
a
(294 formulas)
For fixed
z
and
a
=19/8,
b
>=
a
(843 formulas)
For fixed
z
and
a
=5/2,
b
>=
a
(276 formulas)
For fixed
z
and
a
=21/8,
b
>=
a
(675 formulas)
For fixed
z
and
a
=11/4,
b
>=
a
(258 formulas)
For fixed
z
and
a
=23/8,
b
>=
a
(633 formulas)
For fixed
z
and
a
=3,
b
>=
a
(452 formulas)
For fixed
z
and
a
=25/8,
b
>=
a
(690 formulas)
For fixed
z
and
a
=13/4,
b
>=
a
(232 formulas)
For fixed
z
and
a
=27/8,
b
>=
a
(644 formulas)
For fixed
z
and
a
=7/2,
b
>=
a
(212 formulas)
For fixed
z
and
a
=29/8,
b
>=
a
(496 formulas)
For fixed
z
and
a
=15/4,
b
>=
a
(192 formulas)
For fixed
z
and
a
=31/8,
b
>=
a
(450 formulas)
For fixed
z
and
a
=4,
b
>=
a
(308 formulas)
For fixed
z
and
a
=33/8,
b
>=
a
(476 formulas)
For fixed
z
and
a
=17/4,
b
>=
a
(158 formulas)
For fixed
z
and
a
=35/8,
b
>=
a
(426 formulas)
For fixed
z
and
a
=9/2,
b
>=
a
(136 formulas)
For fixed
z
and
a
=37/8,
b
>=
a
(298 formulas)
For fixed
z
and
a
=19/4,
b
>=
a
(114 formulas)
For fixed
z
and
a
=39/8,
b
>=
a
(248 formulas)
For fixed
z
and
a
=5,
b
>=
a
(172 formulas)
For fixed
z
and
a
=41/8,
b
>=
a
(246 formulas)
For fixed
z
and
a
=21/4,
b
>=
a
(72 formulas)
For fixed
z
and
a
=43/8,
b
>=
a
(192 formulas)
For fixed
z
and
a
=11/2,
b
>=
a
(48 formulas)
For fixed
z
and
a
=45/8,
b
>=
a
(84 formulas)
For fixed
z
and
a
=23/4,
b
>=
a
(24 formulas)
For fixed
z
and
a
=47/8,
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
]
