DLMF:36.2.E29 (Q9871)

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Language	Label	Description	Also known as
English	DLMF:36.2.E29	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(0,0,z\right)=\overline{% \Psi^{(\mathrm{H})}\left(0,0,-z\right)}=\frac{2^{1/3}}{\sqrt{3}}\exp\left(% \frac{1}{27}iz^{3}\right)\Psi^{(\mathrm{E})}\left(0,0,-\frac{z}{2^{2/3}}\right% ),}}

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DLMF:36.2.E29

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{\displaystyle{\displaystyle-\infty<z<\infty}}

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complex conjugate

Defining formula

{\displaystyle{\displaystyle\overline{\NVar{z}}}}

C1.S9.E11.m2acdec

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elliptic umbilic canonical integral function

Defining formula

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

C36.S2.E5.m3ahdec

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exponential function

Defining formula

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

C4.S2.E19.m2andec

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hyperbolic umbilic canonical integral function

Defining formula

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

C36.S2.E5.m4afdec

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Defining formula

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

C1.S9.E1.m2apdec

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Sitelinks

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