DLMF:18.18.E40 (Q5830)

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Language	Label	Description	Also known as
English	DLMF:18.18.E40	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{\ell=0}^{n}\genfrac{(}{)}{0.0pt}{}{n}{\ell}H% _{2\ell}\left(x\right)H_{2n-2\ell}\left(y\right)=(-1)^{n}2^{2n}n!L_{n}\left(x^% {2}+y^{2}\right).}}

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DLMF:18.18.E40

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Defining formula

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

C18.S3.T1.t1.r13.m2ahdec

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Defining formula

{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

C1.S2.SS1.m1addec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5apdec

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Defining formula

{\displaystyle{\displaystyle L_{\NVar{n}}\left(\NVar{x}\right)=L^{(0)}_{n}% \left(x\right)}}

C18.S1.I1.ix7.p1.m3adec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1edec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C18.S1.XMD4.m1aadec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1amdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1aidec

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