DLMF:19.22.E9 (Q6447): Difference between revisions

Revision as of 14:00, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:19.22.E9	No description defined

{\displaystyle{\displaystyle\frac{4}{\pi}R_{G}\left(0,a_{0}^{2},g_{0}^{2}% \right)=\frac{1}{M\left(a_{0},g_{0}\right)}\left(a_{0}^{2}-\sum_{n=0}^{\infty}% 2^{n-1}c_{n}^{2}\right)=\frac{1}{M\left(a_{0},g_{0}\right)}\left(a_{1}^{2}-% \sum_{n=2}^{\infty}2^{n-1}c_{n}^{2}\right),}}

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DLMF:19.22.E9

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{\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}

C19.S16.E3.m2aadec

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@@ Property / Symbols used @@
+symmetric elliptic integral of second kind
@@ Property / Symbols used: symmetric elliptic integral of second kind / rank @@
+Normal rank
@@ Property / Symbols used: symmetric elliptic integral of second kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle R_{G}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$ 
\CarlsonsymellintRG@{\NVar{x}}{\NVar{y}}{\NVar{z}}
@@ Property / Symbols used: symmetric elliptic integral of second kind / qualifier @@
+xml-id: C19.S16.E3.m2aadec