DLMF:19.5.E4 (Q6133): Difference between revisions

Revision as of 12:39, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.5.E4	No description defined

{\displaystyle{\displaystyle\Pi\left(\alpha^{2},k\right)=\frac{\pi}{2}\sum_{n=% 0}^{\infty}\frac{{\left(\tfrac{1}{2}\right)_{n}}}{n!}\sum_{m=0}^{n}\frac{{% \left(\tfrac{1}{2}\right)_{m}}}{m!}k^{2m}\alpha^{2n-2m}=\frac{\pi}{2}{F_{1}}% \left(\tfrac{1}{2};\tfrac{1}{2},1;1;k^{2},\alpha^{2}\right),}}

0 references

0 references

{\displaystyle{\displaystyle{F_{1}}\left(\NVar{\alpha};\NVar{\beta},\NVar{% \beta^{\prime}};\NVar{\gamma};missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}

C16.S13.E1.m2adec

0 references

@@ Property / Symbols used @@
+first Appell function
@@ Property / Symbols used: first Appell function / rank @@
+Normal rank
@@ Property / Symbols used: first Appell function / qualifier @@
+test:  ${\displaystyle{\displaystyle{F_{1}}\left(\NVar{\alpha};\NVar{\beta},\NVar{% \beta^{\prime}};\NVar{\gamma};missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}$ 
\AppellF{1}@{\NVar{\alpha}}{\NVar{\beta}}{\NVar{\beta^{\prime}}}{\NVar{\gamma}% }{\NVar{x}}{\NVar{y}}
@@ Property / Symbols used: first Appell function / qualifier @@
+xml-id: C16.S13.E1.m2adec