DLMF:14.18.E4 (Q4905): Difference between revisions

Revision as of 13:27, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:14.18.E4	No description defined

{\displaystyle{\displaystyle P_{\nu}\left(\cosh\xi_{1}\cosh\xi_{2}-\sinh\xi_{1% }\sinh\xi_{2}\cos\phi\right)=P_{\nu}\left(\cosh\xi_{1}\right)P_{\nu}\left(% \cosh\xi_{2}\right)+2\sum_{m=1}^{\infty}(-1)^{m}P^{-m}_{\nu}\left(\cosh\xi_{1}% \right)P^{m}_{\nu}\left(\cosh\xi_{2}\right)\cos\left(m\phi\right),}}

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DLMF:14.18.E4

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{\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C14.S21.SS1.p1.m1adec

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{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2acdec

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{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2adec

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@@ Property / Symbols used @@
+hyperbolic cosine function
@@ Property / Symbols used: hyperbolic cosine function / rank @@
+Normal rank
@@ Property / Symbols used: hyperbolic cosine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\cosh\NVar{z}}}$ 
\cosh@@{\NVar{z}}
@@ Property / Symbols used: hyperbolic cosine function / qualifier @@
+xml-id: C4.S28.E2.m2adec