DLMF:36.2.E8 (Q9844)

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Language	Label	Description	Also known as
English	DLMF:36.2.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(\mathbf{x}\right)=4\sqrt{% \ifrac{\pi}{6}}\,\exp\left(i\left(\tfrac{1}{27}z^{3}+\tfrac{1}{6}z(y+x)+\tfrac% {1}{4}\pi\right)\right)\*\int_{\infty\exp\left(5\pi i/12\right)}^{\infty\exp% \left(\pi i/12\right)}\exp\left(i\left(2u^{6}+2zu^{4}+\left(\tfrac{1}{2}z^{2}+% x+y\right)u^{2}-\frac{(y-x)^{2}}{24u^{2}}\right)\right)\mathrm{d}u,}}

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DLMF:36.2.E8

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

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

C1.S4.SS4.m1addec

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exponential function

Defining formula

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

C4.S2.E19.m2addec

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hyperbolic umbilic canonical integral function

Defining formula

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

C36.S2.E5.m4aadec

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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.m3addec

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Defining formula

{\displaystyle{\displaystyle y}}

C36.S1.XMD10.m1ddec

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Defining formula

{\displaystyle{\displaystyle z}}

C36.S1.XMD11.m1ddec

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Defining formula

{\displaystyle{\displaystyle x}}

C36.S1.XMD9.m1ddec

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Sitelinks

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