Hypergeometric2F1
Hypergeometric Functions
Hypergeometric2F1[
a
,
b
,c,
z
]
Specific values
For rational parameters with denominators 8 and fixed
z
and
a
<0 (37236 formulas)
For fixed
z
and
a
=-47/8,
b
>=
a
(1629 formulas)
For fixed
z
and
a
=-23/4,
b
>=
a
(358 formulas)
For fixed
z
and
a
=-45/8,
b
>=
a
(1619 formulas)
For fixed
z
and
a
=-43/8,
b
>=
a
(1295 formulas)
For fixed
z
and
a
=-21/4,
b
>=
a
(354 formulas)
For fixed
z
and
a
=-41/8,
b
>=
a
(1285 formulas)
For fixed
z
and
a
=-39/8,
b
>=
a
(1601 formulas)
For fixed
z
and
a
=-19/4,
b
>=
a
(392 formulas)
For fixed
z
and
a
=-37/8,
b
>=
a
(1587 formulas)
For fixed
z
and
a
=-35/8,
b
>=
a
(1289 formulas)
For fixed
z
and
a
=-17/4,
b
>=
a
(384 formulas)
For fixed
z
and
a
=-33/8,
b
>=
a
(1275 formulas)
For fixed
z
and
a
=-31/8,
b
>=
a
(1557 formulas)
For fixed
z
and
a
=-15/4,
b
>=
a
(414 formulas)
For fixed
z
and
a
=-29/8,
b
>=
a
(1539 formulas)
For fixed
z
and
a
=-27/8,
b
>=
a
(1265 formulas)
For fixed
z
and
a
=-13/4,
b
>=
a
(402 formulas)
For fixed
z
and
a
=-25/8,
b
>=
a
(1247 formulas)
For fixed
z
and
a
=-23/8,
b
>=
a
(1497 formulas)
For fixed
z
and
a
=-11/4,
b
>=
a
(424 formulas)
For fixed
z
and
a
=-21/8,
b
>=
a
(1475 formulas)
For fixed
z
and
a
=-19/8,
b
>=
a
(1223 formulas)
For fixed
z
and
a
=-9/4,
b
>=
a
(408 formulas)
For fixed
z
and
a
=-17/8,
b
>=
a
(1201 formulas)
For fixed
z
and
a
=-15/8,
b
>=
a
(1421 formulas)
For fixed
z
and
a
=-7/4,
b
>=
a
(422 formulas)
For fixed
z
and
a
=-13/8,
b
>=
a
(1395 formulas)
For fixed
z
and
a
=-11/8,
b
>=
a
(1165 formulas)
For fixed
z
and
a
=-5/4,
b
>=
a
(402 formulas)
For fixed
z
and
a
=-9/8,
b
>=
a
(1139 formulas)
For fixed
z
and
a
=-7/8,
b
>=
a
(1329 formulas)
For fixed
z
and
a
=-3/4,
b
>=
a
(408 formulas)
For fixed
z
and
a
=-5/8,
b
>=
a
(1299 formulas)
For fixed
z
and
a
=-3/8,
b
>=
a
(1091 formulas)
For fixed
z
and
a
=-1/4,
b
>=
a
(384 formulas)
For fixed
z
and
a
=-1/8,
b
>=
a
(1061 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
]
