Hypergeometric2F1
Hypergeometric Functions
Hypergeometric2F1[
a
,
b
,c,
z
]
Specific values
For rational parameters with denominators 5 and fixed
z
For fixed
z
and
a
=3/5,
b
>=
a
(466 formulas)
For fixed
z
and
a
=3/5,
b
=3/5 (7 formulas)
For fixed
z
and
a
=3/5,
b
=4/5 (14 formulas)
For fixed
z
and
a
=3/5,
b
=1 (25 formulas)
For fixed
z
and
a
=3/5,
b
=6/5 (15 formulas)
For fixed
z
and
a
=3/5,
b
=7/5 (15 formulas)
For fixed
z
and
a
=3/5,
b
=8/5 (8 formulas)
For fixed
z
and
a
=3/5,
b
=9/5 (15 formulas)
For fixed
z
and
a
=3/5,
b
=2 (23 formulas)
For fixed
z
and
a
=3/5,
b
=11/5 (16 formulas)
For fixed
z
and
a
=3/5,
b
=12/5 (16 formulas)
For fixed
z
and
a
=3/5,
b
=13/5 (9 formulas)
For fixed
z
and
a
=3/5,
b
=14/5 (16 formulas)
For fixed
z
and
a
=3/5,
b
=3 (23 formulas)
For fixed
z
and
a
=3/5,
b
=16/5 (17 formulas)
For fixed
z
and
a
=3/5,
b
=17/5 (17 formulas)
For fixed
z
and
a
=3/5,
b
=18/5 (10 formulas)
For fixed
z
and
a
=3/5,
b
=19/5 (17 formulas)
For fixed
z
and
a
=3/5,
b
=4 (23 formulas)
For fixed
z
and
a
=3/5,
b
=21/5 (18 formulas)
For fixed
z
and
a
=3/5,
b
=22/5 (18 formulas)
For fixed
z
and
a
=3/5,
b
=23/5 (11 formulas)
For fixed
z
and
a
=3/5,
b
=24/5 (18 formulas)
For fixed
z
and
a
=3/5,
b
=5 (23 formulas)
For fixed
z
and
a
=3/5,
b
=26/5 (19 formulas)
For fixed
z
and
a
=3/5,
b
=27/5 (19 formulas)
For fixed
z
and
a
=3/5,
b
=28/5 (12 formulas)
For fixed
z
and
a
=3/5,
b
=29/5 (19 formulas)
For fixed
z
and
a
=3/5,
b
=6 (23 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
]
