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Formula:930

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Digital Library of Mathematical Functions ID 2.8.E24

d 2 W d ξ 2 = ( u 2 4 ⁢ ξ + ν 2 - 1 4 ⁢ ξ 2 + ψ ⁢ ( ξ ) ξ ) ⁢ W . derivative 𝑊 𝜉 2 superscript 𝑢 2 4 𝜉 superscript 𝜈 2 1 4 superscript 𝜉 2 𝜓 𝜉 𝜉 𝑊 {\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}W}{{\mathrm{d}\xi}^{2}}=% \left(\frac{u^{2}}{4\xi}+\frac{\nu^{2}-1}{4\xi^{2}}+\frac{\psi(\xi)}{\xi}% \right)W.}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • W n , j ⁢ ( u , ξ ) subscript 𝑊 𝑛 𝑗 𝑢 𝜉 {\displaystyle{\displaystyle W_{n,j}(u,\xi)}} : solution
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : real nonnegative constant
  • u 𝑢 {\displaystyle{\displaystyle u}} : large real or complex parameter
  • ψ ⁢ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}} : function
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This page was last edited on 28 January 2024, at 10:30.
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