DLMF:36.2.E6 (Q9841): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:36.2.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Psi^{(\mathrm{E})}\left(\mathbf{x}\right)=2\sqrt{% \ifrac{\pi}{3}}\,\exp\left(i\left(\tfrac{4}{27}z^{3}+\tfrac{1}{3}xz-\tfrac{1}{% 4}\pi\right)\right)\int_{\infty\exp\left(-7\pi i/12\right)}^{\infty\exp\left(% \pi i/12\right)}\exp\left(i\left(u^{6}+2zu^{4}+(z^{2}+x)u^{2}+\frac{y^{2}}{12u% ^{2}}\right)\right)\mathrm{d}u,}}

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DLMF:36.2.E6

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

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

C1.S4.SS4.m1abdec

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elliptic umbilic canonical integral function

Defining formula

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

C36.S2.E5.m3aadec

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exponential function

Defining formula

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

C4.S2.E19.m2abdec

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Defining formula

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

C1.S9.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3abdec

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Defining formula

{\displaystyle{\displaystyle y}}

C36.S1.XMD10.m1bdec

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Defining formula

{\displaystyle{\displaystyle z}}

C36.S1.XMD11.m1bdec

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