Formula:10674

Digital Library of Mathematical Functions ID 36.10.E17

${\displaystyle{\displaystyle i\frac{\partial\Psi^{(\mathrm{E})}}{\partial z}=\frac{{\partial}^{2}\Psi^{(\mathrm{E})}}{{\partial x}^{2}}+\frac{{\partial}^{2}\Psi^{(\mathrm{E})}}{{\partial y}^{2}},}}$

Symbols List

• ${\displaystyle{\displaystyle\Psi^{(\mathrm{E})}\left(\NVar{\mathbf{x}}\right)}}$: elliptic umbilic canonical integral function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}$: partial derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\partial\NVar{x}}}$: partial differential of $$x$$
• ${\displaystyle{\displaystyle y}}$: real parameter
• ${\displaystyle{\displaystyle z}}$: real parameter
• ${\displaystyle{\displaystyle x}}$: real parameter
 

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