DLMF:2.3.E9 (Q725)

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Language	Label	Description	Also known as
English	DLMF:2.3.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{-xt}q(t)\ln t\mathrm{d}t\sim% \sum_{s=0}^{\infty}\Gamma'\left(\frac{s+\lambda}{\mu}\right)\frac{a_{s}}{x^{(s% +\lambda)/\mu}}-(\ln x)\sum_{s=0}^{\infty}\Gamma\left(\frac{s+\lambda}{\mu}% \right)\frac{a_{s}}{x^{(s+\lambda)/\mu}},}}

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DLMF:2.3.E9

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Defining formula

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

C5.S2.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.SS3.p1.m11aedec

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Defining formula

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

C1.S4.SS4.m1afdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aedec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3afdec

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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 a}}

C2.S3.XMD12.m1bdec

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function (locally)

Defining formula

{\displaystyle{\displaystyle q(t)}}

C2.S3.XMD6.m1bdec

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Defining formula

{\displaystyle{\displaystyle\lambda}}

C2.S3.XMD8.m1bdec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C2.S3.XMD9.m1bdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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