HypergeometricPFQ
Hypergeometric Functions
HypergeometricPFQ[{
a
_{1}
,...,
a
_{p}
},{
b
_{1}
,...,
b
_{q}
},
z
]
Differential equations
Ordinary linear differential equations and wronskians
For the direct function itself (9 formulas)
Representation of fundamental system solutions near point
z
==0 for
p
<=
q
+1 in the general case (6 formulas)
Representation of fundamental system solutions near point
z
==1 for
p
==
q
+1 in the general case (1 formula)
Representation of fundamental system solutions near point
z
=ComplexInfinity for
p
>=
q
+1 in the general case (2 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}
},{
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
]