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Formula:10673

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Digital Library of Mathematical Functions ID 36.10.E16

3 ⁢ ∂ 2 ⁡ Ψ ( H ) ∂ ⁡ y 2 + i ⁢ z ⁢ ∂ ⁡ Ψ ( H ) ∂ ⁡ x - y ⁢ Ψ ( H ) = 0 . 3 partial-derivative hyperbolic-umbilic-canonical-integral 𝑦 2 𝑖 𝑧 partial-derivative hyperbolic-umbilic-canonical-integral 𝑥 𝑦 hyperbolic-umbilic-canonical-integral 0 {\displaystyle{\displaystyle 3\frac{{\partial}^{2}\Psi^{(\mathrm{H})}}{{% \partial y}^{2}}+iz\frac{\partial\Psi^{(\mathrm{H})}}{\partial x}-y\Psi^{(% \mathrm{H})}=0.}}


Constraint(s)

Symbols List

  • Ψ ( H ) ⁡ ( 𝐱 ) hyperbolic-umbilic-canonical-integral 𝐱 {\displaystyle{\displaystyle\Psi^{(\mathrm{H})}\left(\NVar{\mathbf{x}}\right)}} : hyperbolic umbilic canonical integral function
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • ∂ ⁡ f ∂ ⁡ x partial-derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}} : partial derivative of $$f$$ with respect to $$x$$
  • ∂ ⁡ x 𝑥 {\displaystyle{\displaystyle\partial\NVar{x}}} : partial differential of $$x$$
  • y 𝑦 {\displaystyle{\displaystyle y}} : real parameter
  • z 𝑧 {\displaystyle{\displaystyle z}} : real parameter
  • x 𝑥 {\displaystyle{\displaystyle x}} : real parameter
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 03:57.
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