DLMF:13.2.E31 (Q4323)

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Language	Label	Description	Also known as
English	DLMF:13.2.E31	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{k=1}^{n+1}\frac{(n+1)!(k-1)!}{(n-k+1)!{\left% (-a-n\right)_{k}}}z^{n-k+1}-\sum_{k=0}^{-a-n-1}\frac{{\left(a+n+1\right)_{k}}}% {{\left(n+2\right)_{k}}k!}z^{n+k+1}\left(\ln z+\psi\left(-a-n-k\right)-\psi% \left(1+k\right)-\psi\left(n+k+2\right)\right)+(-1)^{n-a}{(-a-n-1)!}\sum_{k=-a% -n}^{\infty}\frac{(k+a+n)!}{{\left(n+2\right)_{k}}k!}z^{n+k+1},}}

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DLMF:13.2.E31

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Defining formula

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

C5.S2.SS3.m1aldec

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psi (or digamma) function

Defining formula

{\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}

C5.S2.E2.m2aedec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5ahdec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2agdec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1ldec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1addec

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Sitelinks

Wikipedia(0 entries)

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