DLMF:19.7.E9 (Q6204): Difference between revisions

Revision as of 13:41, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:19.7.E9	No description defined

{\displaystyle{\displaystyle\Pi\left(\phi,\alpha^{2},k\right)+\Pi\left(\phi,% \omega^{2},k\right)(k^{2}-\alpha^{2})\Pi\left(\phi,\alpha^{2},k\right)+(k^{2}-% \omega^{2})\Pi\left(\phi,\omega^{2},k\right)=k^{2}F\left(\phi,k\right)-\alpha^% {2}\omega^{2}\sqrt{c-1}R_{C}\left(c(c-k^{2}),(c-\alpha^{2})(c-\omega^{2})% \right),}}

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DLMF:19.7.E9

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{\displaystyle{\displaystyle(1-\alpha^{2})(1-\omega^{2})=1-k^{2}}}

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

C19.S2.E17.m2aadec

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@@ 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.m2aadec