DLMF:18.18.E28 (Q5818)

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Language	Label	Description	Also known as
English	DLMF:18.18.E28	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{n=0}^{\infty}\frac{H_{n}\left(x\right)H_{n}% \left(y\right)}{2^{n}n!}z^{n}=(1-z^{2})^{-\frac{1}{2}}\exp\left(\frac{2xyz-(x^% {2}+y^{2})z^{2}}{1-z^{2}}\right),}}

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DLMF:18.18.E28

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{\displaystyle{\displaystyle|z|<1}}

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Defining formula

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

C18.S3.T1.t1.r13.m2afdec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2aadec

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