Formula:5967

Digital Library of Mathematical Functions ID 16.16.E4

${\displaystyle{\displaystyle{F_{3}}\left(\alpha,\gamma-\alpha;\beta,\beta^{\prime};\gamma;x,y\right)=(1-y)^{-\beta^{\prime}}{F_{1}}\left(\alpha;\beta,\beta^{\prime};\gamma;x,\frac{y}{y-1}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle{F_{1}}\left(\NVar{\alpha};\NVar{\beta},\NVar{\beta^{\prime}};\NVar{\gamma};missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}$: first Appell function
• ${\displaystyle{\displaystyle{F_{3}}\left(\NVar{\alpha},\NVar{\alpha^{\prime}};\NVar{\beta},\NVar{\beta^{\prime}};\NVar{\gamma};\NVar{x},\NVar{y}\right)}}$: third Appell function
 

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