Humbert confluent hypergeometric function · LibMeta · SciLib
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Humbert confluent hypergeometric function

http://libmeta.ru/thesaurus/concept/specfunc_40

Definition

$\Phi _{1}(a,b;c;w,z)=\sum_{m=0}^{\infty }\sum_{p=0}^{\infty }\frac{\left(a\right) _{m+p}\left( b\right) _{m}}{\left( c\right) _{m+p}}\frac{w^{m}z^{p} }{m!p!}$ $\left[ \ |w|<1\right] $

Definition article

$\Phi _{1}(a,b;c;w,z)=\sum_{m=0}^{\infty }\sum_{p=0}^{\infty }\frac{\left(a\right) _{m+p}\left( b\right) _{m}}{\left( c\right) _{m+p}}\frac{w^{m}z^{p} }{m!p!}$ $\left[ \ |w|<1\right] $

Данные

notationspecfunc_40

MSC