DLMF:18.12.E14 (Q5656): Difference between revisions

Revision as of 15:32, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:18.12.E14	No description defined

{\displaystyle{\displaystyle\Gamma\left(\alpha+1\right)(xz)^{-\frac{1}{2}% \alpha}e^{z}J_{\alpha}\left(2\sqrt{xz}\right)=\sum_{n=0}^{\infty}\frac{L^{(% \alpha)}_{n}\left(x\right)}{{\left(\alpha+1\right)_{n}}}z^{n}.}}

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DLMF:18.12.E14

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

C10.S2.E2.m2acdec

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{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2abdec

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{\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}

C18.S3.T1.t1.r12.m2aadec

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@@ Property / Symbols used @@
+Q11333
@@ Property / Symbols used: Q11333 / rank @@
+Normal rank
@@ Property / Symbols used: Q11333 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}$ 
\LaguerrepolyL[\NVar{\alpha}]{\NVar{n}}@{\NVar{x}}
@@ Property / Symbols used: Q11333 / qualifier @@
+xml-id: C18.S3.T1.t1.r12.m2aadec