DLMF:18.18.E20 (Q5810): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:18.18.E20	No description defined

Statements

Defining formula

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

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DLMF:18.18.E20

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Defining formula

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

C18.S3.T1.t1.r13.m2addec

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Defining formula

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

C5.S2.SS3.m1ahdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5akdec

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Defining formula

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

introduction.Sx4.p1.t1.r17.m4acdec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C18.S1.XMD4.m1jdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1sdec

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