DLMF:14.8.E3 (Q4777)

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Language	Label	Description	Also known as
English	DLMF:14.8.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{Q}_{\nu}\left(x\right)=\frac{1}{2}\ln\left% (\frac{2}{1-x}\right)-\gamma-\psi\left(\nu+1\right)+O\left(1-x\right),}}

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DLMF:14.8.E3

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{\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2adec

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Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2adec

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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.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathsf{Q}_{\NVar{\nu}}\left(\NVar{x}\right)=% \mathsf{Q}^{0}_{\nu}\left(x\right)}}

C14.S2.SS2.p2.m4adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1bdec

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Sitelinks

Wikipedia(0 entries)

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