DLMF:18.17.E27 (Q5768): Difference between revisions

Revision as of 15:51, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:18.17.E27	No description defined

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{-\frac{1}{2}x^{2}}\mathit{He}_% {2n+1}\left(x\right)\sin\left(xy\right)\mathrm{d}x=(-1)^{n}\sqrt{\tfrac{1}{2}% \pi}y^{2n+1}e^{-\frac{1}{2}y^{2}},}}

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DLMF:18.17.E27

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{\displaystyle{\displaystyle\mathit{He}_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r14.m2aedec

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@@ Property / Symbols used @@
+Q11525
@@ Property / Symbols used: Q11525 / rank @@
+Normal rank
@@ Property / Symbols used: Q11525 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathit{He}_{\NVar{n}}\left(\NVar{x}\right)}}$ 
\dilHermitepolyHe{\NVar{n}}@{\NVar{x}}
@@ Property / Symbols used: Q11525 / qualifier @@
+xml-id: C18.S3.T1.t1.r14.m2aedec