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Formula:9245

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Digital Library of Mathematical Functions ID 28.32.E4

∂ 2 ⁡ K ∂ ⁡ z 2 - ∂ 2 ⁡ K ∂ ⁡ ζ 2 = 2 ⁢ q ⁢ ( cos ⁡ ( 2 ⁢ z ) - cos ⁡ ( 2 ⁢ ζ ) ) ⁢ K . partial-derivative 𝐾 𝑧 2 partial-derivative 𝐾 𝜁 2 2 𝑞 2 𝑧 2 𝜁 𝐾 {\displaystyle{\displaystyle\frac{{\partial}^{2}K}{{\partial z}^{2}}-\frac{{% \partial}^{2}K}{{\partial\zeta}^{2}}=2q\left(\cos\left(2z\right)-\cos\left(2% \zeta\right)\right)K.}}


Constraint(s)

Symbols List

  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • ∂ ⁡ 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 $$x$$
  • q = h 2 𝑞 superscript ℎ 2 {\displaystyle{\displaystyle q=h^{2}}} : parameter
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ζ 𝜁 {\displaystyle{\displaystyle\zeta}} : variable
  • K ⁢ ( z , ζ ) 𝐾 𝑧 𝜁 {\displaystyle{\displaystyle K(z,\zeta)}} : solution
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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