DLMF:22.10.E1 (Q7016): Difference between revisions

Revision as of 15:09, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:22.10.E1	No description defined

{\displaystyle{\displaystyle\operatorname{sn}\left(z,k\right)=z-\left(1+k^{2}% \right)\frac{z^{3}}{3!}+\left(1+14k^{2}+k^{4}\right)\frac{z^{5}}{5!}-\left(1+1% 35k^{2}+135k^{4}+k^{6}\right)\frac{z^{7}}{7!}+O\left(z^{9}\right),}}

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DLMF:22.10.E1

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{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2adec

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

C22.S2.E4.m2adec

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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:  ${\displaystyle{\displaystyle\operatorname{sn}\left(\NVar{z},\NVar{k}\right)}}$ 
\Jacobiellsnk@{\NVar{z}}{\NVar{k}}
@@ Property / Symbols used: Jacobian elliptic function / qualifier @@
+xml-id: C22.S2.E4.m2adec