DLMF:14.15.E15 (Q4861): Difference between revisions

Revision as of 01:50, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:14.15.E15	No description defined

{\displaystyle{\displaystyle\mathsf{P}^{-\mu}_{\nu}\left(x\right)=\beta\left(% \frac{y-\alpha^{2}}{1-\alpha^{2}-x^{2}}\right)^{1/4}\*\left(J_{\mu}\left(\left% (\nu+\tfrac{1}{2}\right)y^{1/2}\right)+O\left(\frac{1}{\nu}\right)\mathrm{env}% \mskip-2.0mu J_{\mu}\left(\left(\nu+\tfrac{1}{2}\right)y^{1/2}\right)\right),}}

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DLMF:14.15.E15

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{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S2.E2.m2aadec

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

C2.S1.E3.m2ajdec

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

C14.S3.E1.m2acdec

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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 @@
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}$ 
\FerrersP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{x}}
@@ Property / Symbols used: Ferrers function of the first kind / qualifier @@
+xml-id: C14.S3.E1.m2acdec