HypergeometricPFQRegularized
Hypergeometric Functions
HypergeometricPFQRegularized[{
a
_{1}
,...,
a
_{p}
},{
b
_{1}
,...,
b
_{q}
},
z
]
Series representations
Generalized power series
Expansions at
z
==infinity for
p
==
q
+1 (12 formulas)
The general formulas (2 formulas)
Case of simple poles (4 formulas)
Case of poles of order
r
in the points
a
_{r}
+
k
/;
r
∈ {2,3,4} &&
k
∈
N
(1 formula)
The major terms for expansions of function
_{q+1}
F
^{~}
_{q}
(
a
_{1}
,...,
a
_{q+1}
;
b
_{1}
,...,
b
_{q}
;
z
) at
z
==infinity (5 formulas)
HypergeometricPFQRegularized[{},{
b
},
z
]
HypergeometricPFQRegularized[{
a
_{1}
},{
b
_{1}
},
z
]
HypergeometricPFQRegularized[{
a
_{1}
,
a
_{2}
},{
b
_{1}
},
z
]
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