Special functions
ConceptSKOS conceptSpecial function
Appell hypergeometric functions $F_{3}(a,a^{\prime },b,b^{\prime };c;w,z) $
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Definition
$F_{3}(a,a^{\prime },b,b^{\prime };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( b^{\prime }\right) _{p}}{\left( c\right)_{m+p}}\frac{w^{m}z^{p}}{m!p!} $$\left[ \ |w|,|z|<1\right] $
Definition article
$F_{3}(a,a^{\prime },b,b^{\prime };c;w,z)=\sum_{m=0}^{\infty}\sum_{p=0}^{\infty }\frac{\left( a\right) _{m}\left( a^{\prime }\right)_{p}\left( b\right) _{m}\left( b^{\prime }\right) _{p}}{\left( c\right)_{m+p}}\frac{w^{m}z^{p}}{m!p!} $$\left[ \ |w|,|z|<1\right] $
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