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
=-11/4,
b
>=
a
(424 formulas)
For fixed
z
and
a
=-11/4,
b
=-21/8 (8 formulas)
For fixed
z
and
a
=-11/4,
b
=-19/8 (8 formulas)
For fixed
z
and
a
=-11/4,
b
=-17/8 (8 formulas)
For fixed
z
and
a
=-11/4,
b
=-15/8 (9 formulas)
For fixed
z
and
a
=-11/4,
b
=-13/8 (9 formulas)
For fixed
z
and
a
=-11/4,
b
=-11/8 (9 formulas)
For fixed
z
and
a
=-11/4,
b
=-9/8 (9 formulas)
For fixed
z
and
a
=-11/4,
b
=-7/8 (10 formulas)
For fixed
z
and
a
=-11/4,
b
=-5/8 (10 formulas)
For fixed
z
and
a
=-11/4,
b
=-3/8 (10 formulas)
For fixed
z
and
a
=-11/4,
b
=-1/8 (10 formulas)
For fixed
z
and
a
=-11/4,
b
=1/8 (11 formulas)
For fixed
z
and
a
=-11/4,
b
=3/8 (11 formulas)
For fixed
z
and
a
=-11/4,
b
=5/8 (11 formulas)
For fixed
z
and
a
=-11/4,
b
=7/8 (11 formulas)
For fixed
z
and
a
=-11/4,
b
=9/8 (12 formulas)
For fixed
z
and
a
=-11/4,
b
=11/8 (12 formulas)
For fixed
z
and
a
=-11/4,
b
=13/8 (12 formulas)
For fixed
z
and
a
=-11/4,
b
=15/8 (12 formulas)
For fixed
z
and
a
=-11/4,
b
=17/8 (13 formulas)
For fixed
z
and
a
=-11/4,
b
=19/8 (13 formulas)
For fixed
z
and
a
=-11/4,
b
=21/8 (13 formulas)
For fixed
z
and
a
=-11/4,
b
=23/8 (13 formulas)
For fixed
z
and
a
=-11/4,
b
=25/8 (14 formulas)
For fixed
z
and
a
=-11/4,
b
=27/8 (14 formulas)
For fixed
z
and
a
=-11/4,
b
=29/8 (14 formulas)
For fixed
z
and
a
=-11/4,
b
=31/8 (14 formulas)
For fixed
z
and
a
=-11/4,
b
=33/8 (15 formulas)
For fixed
z
and
a
=-11/4,
b
=35/8 (15 formulas)
For fixed
z
and
a
=-11/4,
b
=37/8 (15 formulas)
For fixed
z
and
a
=-11/4,
b
=39/8 (15 formulas)
For fixed
z
and
a
=-11/4,
b
=41/8 (16 formulas)
For fixed
z
and
a
=-11/4,
b
=43/8 (16 formulas)
For fixed
z
and
a
=-11/4,
b
=45/8 (16 formulas)
For fixed
z
and
a
=-11/4,
b
=47/8 (16 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
]
