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
=-5/2,
a
2
>=-5/2
For fixed
z
and
a
1
=-5/2,
a
2
=1/2,
a
3
>=1/2 (910 formulas)
For fixed
z
and
a
1
=-5/2,
a
2
=1/2,
a
3
=1/2 (101 formulas)
For fixed
z
and
a
1
=-5/2,
a
2
=1/2,
a
3
=1 (115 formulas)
For fixed
z
and
a
1
=-5/2,
a
2
=1/2,
a
3
=3/2 (107 formulas)
For fixed
z
and
a
1
=-5/2,
a
2
=1/2,
a
3
=2 (118 formulas)
For fixed
z
and
a
1
=-5/2,
a
2
=1/2,
a
3
=5/2 (112 formulas)
For fixed
z
and
a
1
=-5/2,
a
2
=1/2,
a
3
=3 (120 formulas)
For fixed
z
and
a
1
=-5/2,
a
2
=1/2,
a
3
=7/2 (116 formulas)
For fixed
z
and
a
1
=-5/2,
a
2
=1/2,
a
3
=4 (121 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
]
