DLMF:7.7.E13 (Q2383)

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Language	Label	Description	Also known as
English	DLMF:7.7.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{f}\left(z\right)=\frac{(2\pi)^{-3/2}}{2\pi i% }\int_{c-i\infty}^{c+i\infty}\zeta^{-s}\Gamma\left(s\right)\Gamma\left(s+% \tfrac{1}{2}\right)\*\Gamma\left(s+\tfrac{3}{4}\right)\Gamma\left(\tfrac{1}{4}% -s\right)\mathrm{d}s,}}

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DLMF:7.7.E13

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Defining formula

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

C5.S2.E1.m2adec

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auxiliary function for Fresnel integrals

Defining formula

{\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}

C7.S2.E10.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aldec

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Defining formula

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

C1.S4.SS4.m1aldec

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Defining formula

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

C1.S9.E1.m2acdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aldec

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Defining formula

{\displaystyle{\displaystyle z}}

C7.S1.XMD2.m1gdec

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Defining formula

{\displaystyle{\displaystyle\zeta}}

C7.S7.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle c}}

C7.S7.XMD2.m1dec

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Sitelinks

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