DLMF:19.20.E9 (Q6393): Difference between revisions

Latest revision as of 13:57, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:19.20.E9	No description defined

{\displaystyle{\displaystyle R_{J}\left(0,y,z,\pm\sqrt{yz}\right)=\pm\frac{3}{% 2\sqrt{yz}}R_{F}\left(0,y,z\right).}}

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DLMF:19.20.E9

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

C19.S16.E1.m2acdec

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{\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}}

C19.S16.E2.m2acdec

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@@ Property / Symbols used @@
+symmetric elliptic integral of third kind
@@ Property / Symbols used: symmetric elliptic integral of third kind / rank @@
+Normal rank
@@ Property / Symbols used: symmetric elliptic integral of third kind / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}}$ 
\CarlsonsymellintRJ@{\NVar{x}}{\NVar{y}}{\NVar{z}}{\NVar{p}}
@@ Property / Symbols used: symmetric elliptic integral of third kind / qualifier @@
+xml-id: C19.S16.E2.m2acdec