DLMF:8.21.E25 (Q2747)

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No description defined

Language	Label	Description	Also known as
English	DLMF:8.21.E25	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle g(a,z)=\frac{z^{a}}{2i}\int_{0}^{\infty}\left((1-% it)^{a-1}-(1+it)^{a-1}\right)e^{-zt}\mathrm{d}t.}}

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DLMF:8.21.E25

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Defining formula

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

C1.S4.SS4.m1ahdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2addec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ahdec

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Defining formula

{\displaystyle{\displaystyle z}}

C8.S1.XMD2.m1udec

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Defining formula

{\displaystyle{\displaystyle a}}

C8.S1.XMD3.m1vdec

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auxiliary function (locally)

Defining formula

{\displaystyle{\displaystyle g(a,z)}}

C8.S21.XMD2.m1ddec

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Sitelinks

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