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Formula:10664

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Digital Library of Mathematical Functions ID 36.10.E10

∂ 3 ⁢ n ⁡ Ψ 3 ∂ ⁡ y 3 ⁢ n = i n ⁢ ∂ 2 ⁢ n ⁡ Ψ 3 ∂ ⁡ z 2 ⁢ n . partial-derivative canonical-integral 3 𝑦 3 𝑛 superscript 𝑖 𝑛 partial-derivative canonical-integral 3 𝑧 2 𝑛 {\displaystyle{\displaystyle\frac{{\partial}^{3n}\Psi_{3}}{{\partial y}^{3n}}=% i^{n}\frac{{\partial}^{2n}\Psi_{3}}{{\partial z}^{2n}}.}}


Constraint(s)

Symbols List

  • Ψ K ⁡ ( 𝐱 ) canonical-integral 𝐾 𝐱 {\displaystyle{\displaystyle\Psi_{\NVar{K}}\left(\NVar{\mathbf{x}}\right)}} : 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
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  •  Edit this on Wikidata

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