DLMF:22.14.E18 (Q7093): Difference between revisions

Revision as of 15:26, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.14.E18	No description defined

{\displaystyle{\displaystyle\int_{0}^{K\left(k\right)}\ln\left(\operatorname{% dn}\left(t,k\right)\right)\mathrm{d}t=\tfrac{1}{2}K\left(k\right)\ln k^{\prime% }.}}

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DLMF:22.14.E18

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

C22.S2.E6.m2afdec

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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:  ${\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobielldnk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E6.m2afdec