HypergeometricPFQ
Hypergeometric Functions
HypergeometricPFQ[{
a
1
,...,
a
p
},{
b
1
,...,
b
q
},
z
]
Specific values
Specialized values (171 formulas)
Case
p
F
q
with
z
==0 (1 formula)
Case
p
F
q
with fixed
a
1
, ...,
a
p
(10 formulas)
Case
p
F
q
with fixed
z
(1 formula)
Case
q
+1
F
q
(11 formulas)
Case
q
+1
F
q
at
z
==1 (35 formulas)
Case
q
+1
F
q
at
z
==-1 (13 formulas)
Case
q
F
q
(7 formulas)
Case
0
F
q
(1 formula)
Case
1
F
q
(1 formula)
Case
0
F
0
(1 formula)
Case
1
F
0
(1 formula)
Case
0
F
1
(0 formulas)
Case
2
F
0
(5 formulas)
Case
1
F
1
(0 formulas)
Case
0
F
2
(3 formulas)
Case
3
F
0
(1 formula)
Case
2
F
1
(0 formulas)
Case
1
F
2
(6 formulas)
Case
0
F
3
(37 formulas)
Case
2
F
2
(1 formula)
Case
0
F
4
(1 formula)
Case
4
F
1
(5 formulas)
Case
3
F
2
(4 formulas)
Case
2
F
3
(2 formulas)
Case
1
F
4
(1 formula)
Case
3
F
3
(3 formulas)
Case
4
F
3
(1 formula)
Case
5
F
4
(0 formulas)
Case
6
F
5
(0 formulas)
Case
7
F
6
(13 formulas)
Case
8
F
7
(2 formulas)
Case
9
F
8
(3 formulas)
Case
3
F
8
(1 formula)
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
},{
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
]
