DLMF:5.9.E3 (Q2092)

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No description defined

Language	Label	Description	Also known as
English	DLMF:5.9.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle c^{-z}\Gamma\left(z\right)=\int_{-\infty}^{\infty% }|t|^{2z-1}e^{-ct^{2}}\mathrm{d}t,}}

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DLMF:5.9.E3

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

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{\displaystyle{\displaystyle c>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.m2abdec

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Defining formula

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

C1.S4.SS4.m1abdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C5.S1.XMD7.m1bdec

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Sitelinks

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