DLMF:5.9.E19 (Q2108)

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Language	Label	Description	Also known as
English	DLMF:5.9.E19	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\Gamma^{(n)}}\left(z\right)=\int_{0}^{\infty}(\ln t% )^{n}e^{-t}t^{z-1}\mathrm{d}t,}}

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DLMF:5.9.E19

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{\displaystyle{\displaystyle\Re z>0}}

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{\displaystyle{\displaystyle n\geq 0}}

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{\displaystyle{\displaystyle\Re z>0}}

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Defining formula

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

C5.S2.E1.m2akdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1ardec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2akdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ardec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2aedec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1addec

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Defining formula

{\displaystyle{\displaystyle n}}

C5.S1.XMD3.m1cdec

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Defining formula

{\displaystyle{\displaystyle z}}

C5.S1.XMD7.m1odec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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