DLMF:18.17.E19 (Q5760): Difference between revisions

Revision as of 15:48, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:18.17.E19	No description defined

{\displaystyle{\displaystyle\int_{-1}^{1}P_{n}\left(x\right)e^{ixy}\mathrm{d}x% =i^{n}\sqrt{\frac{2\pi}{y}}J_{n+\frac{1}{2}}\left(y\right),}}

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DLMF:18.17.E19

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

C10.S2.E2.m2abdec

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{\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r10.m2abdec

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@@ Property / Symbols used @@
+Q10920
@@ Property / Symbols used: Q10920 / rank @@
+Normal rank
@@ Property / Symbols used: Q10920 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}$ 
\LegendrepolyP{\NVar{n}}@{\NVar{x}}
@@ Property / Symbols used: Q10920 / qualifier @@
+xml-id: C18.S3.T1.t1.r10.m2abdec