DLMF:19.5.E3 (Q6132): Difference between revisions

Revision as of 13:39, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:19.5.E3	No description defined

{\displaystyle{\displaystyle D\left(k\right)=\frac{\pi}{4}\sum_{m=0}^{\infty}% \frac{{\left(\tfrac{3}{2}\right)_{m}}{\left(\tfrac{1}{2}\right)_{m}}}{(m+1)!\;% m!}k^{2m}=\frac{\pi}{4}{{}_{2}F_{1}}\left(\tfrac{3}{2},\tfrac{1}{2};2;k^{2}% \right),}}

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DLMF:19.5.E3

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{\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}

C16.S2.m5abdec

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@@ Property / Symbols used @@
+Q11581
@@ Property / Symbols used: Q11581 / rank @@
+Normal rank
@@ Property / Symbols used: Q11581 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}$ 
\genhyperF{2}{1}@{\NVar{a},\NVar{b}}{\NVar{c}}{\NVar{z}}
@@ Property / Symbols used: Q11581 / qualifier @@
+xml-id: C16.S2.m5abdec