DLMF:22.13.E12 (Q7063): Difference between revisions

Revision as of 15:19, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.13.E12	No description defined

{\displaystyle{\displaystyle\left(\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{% cs}\left(z,k\right)\right)^{2}=\left(1+{\operatorname{cs}^{2}}\left(z,k\right)% \right)\left({k^{\prime}}^{2}+{\operatorname{cs}^{2}}\left(z,k\right)\right).}}

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DLMF:22.13.E12

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

C22.S2.E9.m3aadec

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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:  ${\displaystyle{\displaystyle\operatorname{cs}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellcsk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E9.m3aadec