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

http://libmeta.ru/thesaurus/concept/specfunc_38

Definition

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

Definition article

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

Данные

notationspecfunc_38

MSC