HypergeometricPFQ
Plotting
Evaluation
Hypergeometric Functions
HypergeometricPFQ[{
a
1
,
a
2
},{
b
1
,
b
2
},
z
] (31337 formulas)
Primary definition (2 formulas)
Specific values (31206 formulas)
General characteristics (16 formulas)
Series representations (19 formulas)
Integral representations (5 formulas)
Limit representations (2 formulas)
Continued fraction representations (2 formulas)
Differential equations (14 formulas)
Transformations (3 formulas)
Identities (21 formulas)
Differentiation (32 formulas)
Integration (6 formulas)
Integral transforms (1 formula)
Operations (3 formulas)
Representations through more general functions (5 formulas)
History (0 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
]