DLMF:24.16.E4 (Q7574): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:24.16.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left(\frac{\ln\left(1+t\right)}{t}\right)^{\ell}=% \ell\sum_{n=0}^{\infty}\frac{B^{(\ell+n)}_{n}}{\ell+n}\frac{t^{n}}{n!},}}

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DLMF:24.16.E4

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{\displaystyle{\displaystyle|t|<1}}

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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Defining formula

{\displaystyle{\displaystyle B^{(\NVar{\ell})}_{\NVar{n}}\left(\NVar{x}\right)}}

C24.S16.Px1.p1.m3abdec

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2adec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C24.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle n}}

C24.S1.XMD5.m1cdec

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Sitelinks

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