DLMF:14.9.E8 (Q4799): Difference between revisions

Revision as of 00:36, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:14.9.E8	No description defined

{\displaystyle{\displaystyle\tfrac{1}{2}\pi\sin\left((\nu-\mu)\pi\right)% \mathsf{P}^{-\mu}_{\nu}\left(x\right)=-\cos\left((\nu-\mu)\pi\right)\mathsf{Q}% ^{-\mu}_{\nu}\left(x\right)-\mathsf{Q}^{-\mu}_{\nu}\left(-x\right),}}

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{\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E1.m2afdec

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@@ Property / Symbols used @@
+Ferrers function of the first kind
@@ Property / Symbols used: Ferrers function of the first kind / rank @@
+Normal rank
@@ Property / Symbols used: Ferrers function of the first kind / qualifier @@
+test:  ${\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$ 
\FerrersP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Ferrers function of the first kind / qualifier @@
+xml-id: C14.S3.E1.m2afdec