Hypergeometric2F1
Hypergeometric Functions
Hypergeometric2F1[
a
,
b
,c,
z
]
Specific values
For integer and half-integer parameters and fixed
z
(3846 formulas)
For fixed
z
and
a
=-11/2,
b
>=
a
(438 formulas)
For fixed
z
and
a
=-9/2,
b
>=
a
(404 formulas)
For fixed
z
and
a
=-7/2,
b
>=
a
(371 formulas)
For fixed
z
and
a
=-5/2,
b
>=
a
(339 formulas)
For fixed
z
and
a
=-3/2,
b
>=
a
(308 formulas)
For fixed
z
and
a
=-1/2,
b
>=
a
(279 formulas)
For fixed
z
and
a
=1/2,
b
>=
a
(253 formulas)
For fixed
z
and
a
=1,
b
>=
a
(270 formulas)
For fixed
z
and
a
=3/2,
b
>=
a
(200 formulas)
For fixed
z
and
a
=2,
b
>=
a
(219 formulas)
For fixed
z
and
a
=5/2,
b
>=
a
(154 formulas)
For fixed
z
and
a
=3,
b
>=
a
(170 formulas)
For fixed
z
and
a
=7/2,
b
>=
a
(110 formulas)
For fixed
z
and
a
=4,
b
>=
a
(122 formulas)
For fixed
z
and
a
=9/2,
b
>=
a
(71 formulas)
For fixed
z
and
a
=5,
b
>=
a
(75 formulas)
For fixed
z
and
a
=11/2,
b
>=
a
(34 formulas)
For fixed
z
and
a
=6,
b
>=
a
(29 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
]
