DLMF:5.17.E5 (Q2185): Difference between revisions

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Latest revision as of 01:09, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:5.17.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\operatorname{Ln}G\left(z+1\right)\sim\tfrac{1}{4}% z^{2}+z\operatorname{Ln}\Gamma\left(z+1\right)-\left(\tfrac{1}{2}z(z+1)+\tfrac% {1}{12}\right)\operatorname{Ln}z-\ln A+\sum_{k=1}^{\infty}\frac{B_{2k+2}}{2k(2% k+1)(2k+2)z^{2k}}.}}

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DLMF:5.17.E5

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Defining formula

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

C5.S17.E1.m1addec

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Defining formula

{\displaystyle{\displaystyle B_{\NVar{n}}}}

C24.S2.SS1.m1adec

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Defining formula

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

C5.S2.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11adec

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general logarithm function

Defining formula

{\displaystyle{\displaystyle\operatorname{Ln}\NVar{z}}}

C4.S2.E1.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 k}}

C5.S1.XMD4.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C5.S1.XMD7.m1cdec

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Defining formula

{\displaystyle{\displaystyle A}}

C5.S17.XMD1.m1dec

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Sitelinks

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