Hypergeometric1F1
Hypergeometric Functions
Hypergeometric1F1[
a
,
b
,
z
]
Representations through more general functions
Through Meijer
G
Classical cases involving Laguerre
L
(4 formulas)
HypergeometricPFQ[{},{},
z
]
HypergeometricPFQ[{},{
b
},
z
]
HypergeometricPFQ[{
a
},{},
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
]
HypergeometricPFQ[{
a
_{1}
,...,
a
_{p}
},{
b
_{1}
,...,
b
_{q}
},
z
]