HypergeometricPFQ
Hypergeometric Functions
HypergeometricPFQ[{
a
1
,
a
2
},{
b
1
,
b
2
},
z
]
Specific values
For integer and half-integer parameters and fixed
z
(31197 formulas)
For fixed
z
and
a
1
=-11/2,
a
2
>=-11/2 (2788 formulas)
For fixed
z
and
a
1
=-9/2,
a
2
>=-9/2 (2789 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
>=-7/2 (2763 formulas)
For fixed
z
and
a
1
=-5/2,
a
2
>=-5/2 (2712 formulas)
For fixed
z
and
a
1
=-3/2,
a
2
>=-3/2 (2638 formulas)
For fixed
z
and
a
1
=-1/2,
a
2
>=-1/2 (2543 formulas)
For fixed
z
and
a
1
=1/2,
a
2
>=1/2 (2429 formulas)
For fixed
z
and
a
1
=1,
a
2
>=1 (1895 formulas)
For fixed
z
and
a
1
=3/2,
a
2
>=3/2 (2045 formulas)
For fixed
z
and
a
1
=2,
a
2
>=2 (1597 formulas)
For fixed
z
and
a
1
=5/2,
a
2
>=5/2 (1642 formulas)
For fixed
z
and
a
1
=3,
a
2
>=3 (1273 formulas)
For fixed
z
and
a
1
=7/2,
a
2
>=7/2 (1228 formulas)
For fixed
z
and
a
1
=4,
a
2
>=4 (925 formulas)
For fixed
z
and
a
1
=9/2,
a
2
>=9/2 (811 formulas)
For fixed
z
and
a
1
=5,
a
2
>=5 (555 formulas)
For fixed
z
and
a
1
=11/2,
a
2
>=11/2 (399 formulas)
For fixed
z
and
a
1
=6,
a
2
>=6 (165 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
},
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
]
