DLMF:22.6.E8 (Q6942): Difference between revisions

Revision as of 14:57, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.6.E8	No description defined

{\displaystyle{\displaystyle\operatorname{cd}\left(2z,k\right)=\frac{{% \operatorname{cd}^{2}}\left(z,k\right)-{k^{\prime}}^{2}{\operatorname{sd}^{2}}% \left(z,k\right){\operatorname{nd}^{2}}\left(z,k\right)}{1+k^{2}{k^{\prime}}^{% 2}{\operatorname{sd}^{4}}\left(z,k\right)},}}

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DLMF:22.6.E8

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{\displaystyle{\displaystyle\operatorname{cd}\left(\NVar{z},\NVar{k}\right)}}

C22.S2.E8.m2aadec

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@@ Property / Symbols used @@
+Jacobian elliptic function
@@ Property / Symbols used: Jacobian elliptic function / rank @@
+Normal rank
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{cd}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellcdk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E8.m2aadec