Hypergeometric2F1
Hypergeometric Functions
Hypergeometric2F1[
a
,
b
,c,
z
]
Specific values
For rational parameters with denominators 4 and fixed
z
For fixed
z
and
a
=3/4,
b
>=
a
(695 formulas)
For fixed
z
and
a
=3/4,
b
=3/4 (32 formulas)
For fixed
z
and
a
=3/4,
b
=1 (20 formulas)
For fixed
z
and
a
=3/4,
b
=5/4 (54 formulas)
For fixed
z
and
a
=3/4,
b
=3/2 (21 formulas)
For fixed
z
and
a
=3/4,
b
=7/4 (32 formulas)
For fixed
z
and
a
=3/4,
b
=2 (18 formulas)
For fixed
z
and
a
=3/4,
b
=9/4 (52 formulas)
For fixed
z
and
a
=3/4,
b
=5/2 (22 formulas)
For fixed
z
and
a
=3/4,
b
=11/4 (33 formulas)
For fixed
z
and
a
=3/4,
b
=3 (18 formulas)
For fixed
z
and
a
=3/4,
b
=13/4 (53 formulas)
For fixed
z
and
a
=3/4,
b
=7/2 (23 formulas)
For fixed
z
and
a
=3/4,
b
=15/4 (34 formulas)
For fixed
z
and
a
=3/4,
b
=4 (18 formulas)
For fixed
z
and
a
=3/4,
b
=17/4 (54 formulas)
For fixed
z
and
a
=3/4,
b
=9/2 (24 formulas)
For fixed
z
and
a
=3/4,
b
=19/4 (35 formulas)
For fixed
z
and
a
=3/4,
b
=5 (18 formulas)
For fixed
z
and
a
=3/4,
b
=21/4 (55 formulas)
For fixed
z
and
a
=3/4,
b
=11/2 (25 formulas)
For fixed
z
and
a
=3/4,
b
=23/4 (36 formulas)
For fixed
z
and
a
=3/4,
b
=6 (18 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
]
