DLMF:14.8.E9 (Q4783)

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Language	Label	Description	Also known as
English	DLMF:14.8.E9	No description defined

Statements

Defining formula

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

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DLMF:14.8.E9

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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.m2aadec

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Defining formula

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

C5.S2.E1.m2afdec

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Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2aadec

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psi (or digamma) function

Defining formula

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

C5.S2.E2.m2aadec

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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\boldsymbol{Q}_{\NVar{\nu}}\left(\NVar{z}\right)=% \boldsymbol{Q}^{0}_{\nu}\left(z\right)}}

C14.S2.SS2.p2.m6adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1hdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1hdec

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Sitelinks

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