DLMF:2.5.E13 (Q789)

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Language	Label	Description	Also known as
English	DLMF:2.5.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle b_{n}=-a_{n}\left(\ln 2+\tfrac{1}{2}\psi\left(\nu% +\tfrac{1}{2}n\right)+\psi\left(1-\tfrac{1}{2}n\right)+\tfrac{1}{2}\psi\left(1% +\nu-\tfrac{1}{2}n\right)-\psi\left(n\right)\right),}}

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DLMF:2.5.E13

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psi (or digamma) function

Defining formula

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

C5.S2.E2.m2adec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2aadec

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Defining formula

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

C2.S5.XMD11.m1bdec

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Defining formula

{\displaystyle{\displaystyle b_{n}}}

C2.S5.XMD12.m1adec

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Sitelinks

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