DLMF:9.12.E24 (Q2952)

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Language	Label	Description	Also known as
English	DLMF:9.12.E24	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{Hi}\left(z\right)=\frac{3^{-2/3}}{2\pi^{2}% i}\int_{-i\infty}^{i\infty}\Gamma\left(\tfrac{1}{3}+\tfrac{1}{3}t\right)\Gamma% \left(-t\right)(3^{1/3}e^{\pi i}z)^{t}\mathrm{d}t,}}

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DLMF:9.12.E24

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Defining formula

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

C5.S2.E1.m2afdec

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Scorer function (inhomogeneous Airy function)

Defining formula

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

C9.S12.E5.m2aodec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aqdec

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Defining formula

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

C1.S4.SS4.m1agdec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2afdec

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Defining formula

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

C1.S9.E1.m2afdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3afdec

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Defining formula

{\displaystyle{\displaystyle z}}

C9.S1.XMD3.m1sdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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