HypergeometricPFQ
Hypergeometric Functions
HypergeometricPFQ[{
a
1
},{
b
1
,
b
2
},
z
]
Specific values
For rational parameters with larger denominators and fixed
z
For fixed
z
and
a
1
=6,
b
1
>=-23/4 (290 formulas)
For fixed
z
and
a
1
=6,
b
1
=-23/4 (24 formulas)
For fixed
z
and
a
1
=6,
b
1
=-21/4 (22 formulas)
For fixed
z
and
a
1
=6,
b
1
=-19/4 (22 formulas)
For fixed
z
and
a
1
=6,
b
1
=-17/4 (20 formulas)
For fixed
z
and
a
1
=6,
b
1
=-15/4 (20 formulas)
For fixed
z
and
a
1
=6,
b
1
=-13/4 (18 formulas)
For fixed
z
and
a
1
=6,
b
1
=-11/4 (18 formulas)
For fixed
z
and
a
1
=6,
b
1
=-9/4 (16 formulas)
For fixed
z
and
a
1
=6,
b
1
=-7/4 (16 formulas)
For fixed
z
and
a
1
=6,
b
1
=-5/4 (14 formulas)
For fixed
z
and
a
1
=6,
b
1
=-3/4 (14 formulas)
For fixed
z
and
a
1
=6,
b
1
=-1/4 (12 formulas)
For fixed
z
and
a
1
=6,
b
1
=1/4 (12 formulas)
For fixed
z
and
a
1
=6,
b
1
=3/4 (10 formulas)
For fixed
z
and
a
1
=6,
b
1
=5/4 (10 formulas)
For fixed
z
and
a
1
=6,
b
1
=7/4 (8 formulas)
For fixed
z
and
a
1
=6,
b
1
=9/4 (8 formulas)
For fixed
z
and
a
1
=6,
b
1
=11/4 (6 formulas)
For fixed
z
and
a
1
=6,
b
1
=13/4 (6 formulas)
For fixed
z
and
a
1
=6,
b
1
=15/4 (4 formulas)
For fixed
z
and
a
1
=6,
b
1
=17/4 (4 formulas)
For fixed
z
and
a
1
=6,
b
1
=19/4 (2 formulas)
For fixed
z
and
a
1
=6,
b
1
=21/4 (2 formulas)
For fixed
z
and
a
1
=6,
b
1
=23/4 (2 formulas)
HypergeometricPFQ[{},{},
z
]
HypergeometricPFQ[{},{
b
},
z
]
HypergeometricPFQ[{
a
},{},
z
]
HypergeometricPFQ[{
a
},{
b
},
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
},{
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
]
