DLMF:19.20.E21 (Q6412): 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.E21	No description defined

{\displaystyle{\displaystyle R_{D}\left(x,x,z\right)=\frac{3}{z-x}\left(R_{C}% \left(z,x\right)-\frac{1}{\sqrt{z}}\right),}}

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DLMF:19.20.E21

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{\displaystyle{\displaystyle xz\neq 0}}

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

C19.S2.E17.m2agdec

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

C19.S16.E5.m2afdec

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@@ Property / constraint @@
+ ${\displaystyle{\displaystyle xz\neq 0}}$ 
xz\neq 0
@@ Property / constraint: ${\displaystyle{\displaystyle xz\neq 0}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+Carlson’s combination of inverse circular and inverse hyperbolic functions
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}$ 
\CarlsonellintRC@{\NVar{x}}{\NVar{y}}
+xml-id: C19.S2.E17.m2agdec
@@ Property / Symbols used @@
+elliptic integral symmetric in only two variables
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}$ 
\CarlsonsymellintRD@{\NVar{x}}{\NVar{y}}{\NVar{z}}
+xml-id: C19.S16.E5.m2afdec