DLMF:36.9.E9 (Q9962)

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Language	Label	Description	Also known as
English	DLMF:36.9.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left|\Psi^{(\mathrm{E})}\left(x,y,z\right)\right|% ^{2}=\frac{8\pi^{2}}{3^{2/3}}\int_{0}^{\infty}\int_{0}^{2\pi}\Re\left missing(% \mathrm{Ai}\left(\frac{1}{3^{1/3}}\left(x+iy+2zu\exp\left(i\theta\right)+3u^{2% }\exp\left(-2i\theta\right)\right)\right)\*\mathrm{Bi}\left(\frac{1}{3^{1/3}}% \left(x-iy+2zu\exp\left(-i\theta\right)+3u^{2}\exp\left(2i\theta\right)\right)% \right)\right)u\mathrm{d}u\mathrm{d}\theta.{}}}

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DLMF:36.9.E9

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Defining formula

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

C9.S2.SS1.m1abdec

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Defining formula

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

C9.S2.SS1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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Defining formula

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

C1.S4.SS4.m1ahdec

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elliptic umbilic canonical integral function

Defining formula

{\displaystyle{\displaystyle\Psi^{(\mathrm{E})}\left(\NVar{\mathbf{x}}\right)}}

C36.S2.E5.m3adec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2adec

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Defining formula

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

C1.S9.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ahdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

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Defining formula

{\displaystyle{\displaystyle y}}

C36.S1.XMD10.m1edec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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