Hypergeometric2F1
Hypergeometric Functions
Hypergeometric2F1[
a
,
b
,c,
z
]
Specific values
For rational parameters with denominators 8 and fixed
z
and
a
>0
For fixed
z
and
a
=25/8,
b
>=
a
(690 formulas)
For fixed
z
and
a
=25/8,
b
=25/8 (10 formulas)
For fixed
z
and
a
=25/8,
b
=13/4 (20 formulas)
For fixed
z
and
a
=25/8,
b
=27/8 (26 formulas)
For fixed
z
and
a
=25/8,
b
=7/2 (20 formulas)
For fixed
z
and
a
=25/8,
b
=29/8 (62 formulas)
For fixed
z
and
a
=25/8,
b
=15/4 (20 formulas)
For fixed
z
and
a
=25/8,
b
=31/8 (44 formulas)
For fixed
z
and
a
=25/8,
b
=4 (22 formulas)
For fixed
z
and
a
=25/8,
b
=33/8 (11 formulas)
For fixed
z
and
a
=25/8,
b
=17/4 (21 formulas)
For fixed
z
and
a
=25/8,
b
=35/8 (27 formulas)
For fixed
z
and
a
=25/8,
b
=9/2 (21 formulas)
For fixed
z
and
a
=25/8,
b
=37/8 (63 formulas)
For fixed
z
and
a
=25/8,
b
=19/4 (21 formulas)
For fixed
z
and
a
=25/8,
b
=39/8 (45 formulas)
For fixed
z
and
a
=25/8,
b
=5 (21 formulas)
For fixed
z
and
a
=25/8,
b
=41/8 (12 formulas)
For fixed
z
and
a
=25/8,
b
=21/4 (22 formulas)
For fixed
z
and
a
=25/8,
b
=43/8 (28 formulas)
For fixed
z
and
a
=25/8,
b
=11/2 (22 formulas)
For fixed
z
and
a
=25/8,
b
=45/8 (64 formulas)
For fixed
z
and
a
=25/8,
b
=23/4 (22 formulas)
For fixed
z
and
a
=25/8,
b
=47/8 (46 formulas)
For fixed
z
and
a
=25/8,
b
=6 (20 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
]
