Appell hypergeometric functions · LibMeta · SciLib
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Appell hypergeometric functions

http://libmeta.ru/thesaurus/concept/specfunc_5

Definition

$F_{4}(a,b;c,c^{\prime };w,z)=\sum_{m=0}^{\infty }\sum_{p=0}^{\infty } \frac{\left( a\right) _{m+p}\left( b\right) _{m+p}}{\left( c\right)_{m}\left( c^{\prime }\right) _{p}}\frac{w^{m}z^{p}}{m!p!} $$\left[ \ \sqrt{|w|}+\sqrt{|z|}<1\right] $

Definition article

$F_{4}(a,b;c,c^{\prime };w,z)=\sum_{m=0}^{\infty }\sum_{p=0}^{\infty } \frac{\left( a\right) _{m+p}\left( b\right) _{m+p}}{\left( c\right)_{m}\left( c^{\prime }\right) _{p}}\frac{w^{m}z^{p}}{m!p!} $$\left[ \ \sqrt{|w|}+\sqrt{|z|}<1\right] $

Данные

notationspecfunc_5

MSC

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