DLMF:13.2.E19 (Q4309)

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Language	Label	Description	Also known as
English	DLMF:13.2.E19	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U\left(a,1,z\right)=-\frac{1}{\Gamma\left(a\right% )}\left(\ln z+\psi\left(a\right)+2\gamma\right)+O\left(z\ln z\right),}}

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DLMF:13.2.E19

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order not exceeding

Defining formula

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

C2.S1.E3.m2afdec

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Defining formula

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

C5.S2.E1.m2ahdec

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Euler’s constant

Defining formula

{\displaystyle{\displaystyle\gamma}}

C5.S2.E3.m2adec

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Kummer confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

C13.S2.E6.m2aldec

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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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Sitelinks

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