Hypergeometric2F1
Hypergeometric Functions
Hypergeometric2F1[
a
,
b
,c,
z
]
Specific values
For rational parameters with denominators 4 and fixed
z
(21914 formulas)
For fixed
z
and
a
=-23/4,
b
>=
a
(1296 formulas)
For fixed
z
and
a
=-11/2,
b
>=
a
(316 formulas)
For fixed
z
and
a
=-21/4,
b
>=
a
(1112 formulas)
For fixed
z
and
a
=-19/4,
b
>=
a
(1236 formulas)
For fixed
z
and
a
=-9/2,
b
>=
a
(320 formulas)
For fixed
z
and
a
=-17/4,
b
>=
a
(1059 formulas)
For fixed
z
and
a
=-15/4,
b
>=
a
(1170 formulas)
For fixed
z
and
a
=-7/2,
b
>=
a
(318 formulas)
For fixed
z
and
a
=-13/4,
b
>=
a
(999 formulas)
For fixed
z
and
a
=-11/4,
b
>=
a
(1098 formulas)
For fixed
z
and
a
=-5/2,
b
>=
a
(310 formulas)
For fixed
z
and
a
=-9/4,
b
>=
a
(932 formulas)
For fixed
z
and
a
=-7/4,
b
>=
a
(1020 formulas)
For fixed
z
and
a
=-3/2,
b
>=
a
(296 formulas)
For fixed
z
and
a
=-5/4,
b
>=
a
(858 formulas)
For fixed
z
and
a
=-3/4,
b
>=
a
(936 formulas)
For fixed
z
and
a
=-1/2,
b
>=
a
(276 formulas)
For fixed
z
and
a
=-1/4,
b
>=
a
(777 formulas)
For fixed
z
and
a
=1/4,
b
>=
a
(854 formulas)
For fixed
z
and
a
=1/2,
b
>=
a
(250 formulas)
For fixed
z
and
a
=3/4,
b
>=
a
(695 formulas)
For fixed
z
and
a
=1,
b
>=
a
(406 formulas)
For fixed
z
and
a
=5/4,
b
>=
a
(720 formulas)
For fixed
z
and
a
=3/2,
b
>=
a
(218 formulas)
For fixed
z
and
a
=7/4,
b
>=
a
(576 formulas)
For fixed
z
and
a
=2,
b
>=
a
(332 formulas)
For fixed
z
and
a
=9/4,
b
>=
a
(591 formulas)
For fixed
z
and
a
=5/2,
b
>=
a
(180 formulas)
For fixed
z
and
a
=11/4,
b
>=
a
(459 formulas)
For fixed
z
and
a
=3,
b
>=
a
(256 formulas)
For fixed
z
and
a
=13/4,
b
>=
a
(453 formulas)
For fixed
z
and
a
=7/2,
b
>=
a
(136 formulas)
For fixed
z
and
a
=15/4,
b
>=
a
(332 formulas)
For fixed
z
and
a
=4,
b
>=
a
(176 formulas)
For fixed
z
and
a
=17/4,
b
>=
a
(307 formulas)
For fixed
z
and
a
=9/2,
b
>=
a
(86 formulas)
For fixed
z
and
a
=19/4,
b
>=
a
(196 formulas)
For fixed
z
and
a
=5,
b
>=
a
(98 formulas)
For fixed
z
and
a
=21/4,
b
>=
a
(156 formulas)
For fixed
z
and
a
=11/2,
b
>=
a
(30 formulas)
For fixed
z
and
a
=23/4,
b
>=
a
(54 formulas)
For fixed
z
and
a
=6,
b
>=
a
(24 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
]
