Hypergeometric2F1
Hypergeometric Functions
Hypergeometric2F1[
a
,
b
,c,
z
]
Specific values
For rational parameters with denominators 3 and fixed
z
(4396 formulas)
For fixed
z
and
a
=-17/3,
b
>=
a
(426 formulas)
For fixed
z
and
a
=-16/3,
b
>=
a
(138 formulas)
For fixed
z
and
a
=-14/3,
b
>=
a
(396 formulas)
For fixed
z
and
a
=-13/3,
b
>=
a
(132 formulas)
For fixed
z
and
a
=-11/3,
b
>=
a
(366 formulas)
For fixed
z
and
a
=-10/3,
b
>=
a
(126 formulas)
For fixed
z
and
a
=-8/3,
b
>=
a
(336 formulas)
For fixed
z
and
a
=-7/3,
b
>=
a
(120 formulas)
For fixed
z
and
a
=-5/3,
b
>=
a
(306 formulas)
For fixed
z
and
a
=-4/3,
b
>=
a
(114 formulas)
For fixed
z
and
a
=-2/3,
b
>=
a
(276 formulas)
For fixed
z
and
a
=-1/3,
b
>=
a
(108 formulas)
For fixed
z
and
a
=1/3,
b
>=
a
(248 formulas)
For fixed
z
and
a
=2/3,
b
>=
a
(104 formulas)
For fixed
z
and
a
=1,
b
>=
a
(140 formulas)
For fixed
z
and
a
=4/3,
b
>=
a
(200 formulas)
For fixed
z
and
a
=5/3,
b
>=
a
(80 formulas)
For fixed
z
and
a
=2,
b
>=
a
(108 formulas)
For fixed
z
and
a
=7/3,
b
>=
a
(156 formulas)
For fixed
z
and
a
=8/3,
b
>=
a
(60 formulas)
For fixed
z
and
a
=3,
b
>=
a
(78 formulas)
For fixed
z
and
a
=10/3,
b
>=
a
(114 formulas)
For fixed
z
and
a
=11/3,
b
>=
a
(42 formulas)
For fixed
z
and
a
=4,
b
>=
a
(50 formulas)
For fixed
z
and
a
=13/3,
b
>=
a
(74 formulas)
For fixed
z
and
a
=14/3,
b
>=
a
(26 formulas)
For fixed
z
and
a
=5,
b
>=
a
(24 formulas)
For fixed
z
and
a
=16/3,
b
>=
a
(36 formulas)
For fixed
z
and
a
=17/3,
b
>=
a
(12 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
]