Formula:10682

Digital Library of Mathematical Functions ID 36.11.E7

${\displaystyle{\displaystyle\Psi^{(\mathrm{E})}\left(0,0,z\right)=\frac{\pi}{z}\left(i+\sqrt{3}\exp\left(\frac{4}{27}iz^{3}\right)+o\left(1\right)\right),}}$

Constraint(s)

${\displaystyle{\displaystyle z\to\pm\infty}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\Psi^{(\mathrm{E})}\left(\NVar{\mathbf{x}}\right)}}$: elliptic umbilic canonical integral function
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle o\left(\NVar{x}\right)}}$: order less than
• ${\displaystyle{\displaystyle z}}$: real parameter
 

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