DLMF:13.18.E17 (Q4586): Difference between revisions

Revision as of 14:13, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:13.18.E17	No description defined

{\displaystyle{\displaystyle W_{\frac{1}{2}\alpha+\frac{1}{2}+n,\frac{1}{2}% \alpha}\left(z\right)=(-1)^{n}{\left(\alpha+1\right)_{n}}M_{\frac{1}{2}\alpha+% \frac{1}{2}+n,\frac{1}{2}\alpha}\left(z\right)=(-1)^{n}n!e^{-\frac{1}{2}z}z^{% \frac{1}{2}\alpha+\frac{1}{2}}L^{(\alpha)}_{n}\left(z\right).}}

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DLMF:13.18.E17

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

C18.S3.T1.t1.r12.m2adec

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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.m2adec