HypergeometricPFQ
Hypergeometric Functions
HypergeometricPFQ[{
a
1
,
a
2
,
a
3
},{
b
1
,
b
2
},
z
]
Specific values
For integer and half-integer parameters and fixed
z
For fixed
z
and
a
1
=-7/2,
a
2
>=-7/2 (8968 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=-7/2,
a
3
>=-7/2 (1306 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=-5/2,
a
3
>=-5/2 (1225 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=-3/2,
a
3
>=-3/2 (1134 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=-1/2,
a
3
>=-1/2 (1034 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=1/2,
a
3
>=1/2 (926 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=1,
a
3
>=1 (767 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=3/2,
a
3
>=3/2 (694 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=2,
a
3
>=2 (656 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=5/2,
a
3
>=5/2 (459 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=3,
a
3
>=3 (399 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=7/2,
a
3
>=7/2 (226 formulas)
For fixed
z
and
a
1
=-7/2,
a
2
=4,
a
3
>=4 (142 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
},
z
]
HypergeometricPFQ[{
a
1
,
a
2
},{
b
1
,
b
2
,
b
3
},
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
]
