DLMF:18.18.E13 (Q5803): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:18.18.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle H_{n}\left(\lambda x\right)=\lambda^{n}\sum_{\ell% =0}^{\left\lfloor n/2\right\rfloor}\frac{{\left(-n\right)_{2\ell}}}{\ell!}(1-% \lambda^{-2})^{\ell}H_{n-2\ell}\left(x\right).}}

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DLMF:18.18.E13

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Defining formula

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

C18.S3.T1.t1.r13.m2acdec

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1aadec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5afdec

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Defining formula

{\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}

introduction.Sx4.p1.t1.r17.m4adec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C18.S1.XMD4.m1cdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1ldec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1idec

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