DLMF:18.18.E11 (Q5801)

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Language	Label	Description	Also known as
English	DLMF:18.18.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{(a_{1}^{2}+\dots+a_{r}^{2})^{\frac{1}{2}n}}{% n!}H_{n}\left(\frac{a_{1}x_{1}+\cdots+a_{r}x_{r}}{(a_{1}^{2}+\cdots+a_{r}^{2})% ^{\frac{1}{2}}}\right)=\sum_{m_{1}+\cdots+m_{r}=n}\frac{a_{1}^{m_{1}}\cdots a_% {r}^{m_{r}}}{m_{1}!\cdots m_{r}!}H_{m_{1}}\left(x_{1}\right)\cdots H_{m_{r}}% \left(x_{r}\right).}}

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DLMF:18.18.E11

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Defining formula

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

C18.S3.T1.t1.r13.m2abdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aedec

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Defining formula

{\displaystyle{\displaystyle m}}

C18.S1.XMD5.m1adec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1jdec

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Defining formula

{\displaystyle{\displaystyle a_{n}}}

C18.S18.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1gdec

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