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Formula:918

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Digital Library of Mathematical Functions ID 2.8.E13

A s + 1 ⁢ ( ξ ) = - 1 2 ⁢ A s ′ ⁢ ( ξ ) + 1 2 ⁢ ∫ ψ ⁢ ( ξ ) ⁢ A s ⁢ ( ξ ) ⁢ d ξ , subscript 𝐴 𝑠 1 𝜉 1 2 superscript subscript 𝐴 𝑠 ′ 𝜉 1 2 𝜓 𝜉 subscript 𝐴 𝑠 𝜉 𝜉 {\displaystyle{\displaystyle A_{s+1}(\xi)=-\tfrac{1}{2}A_{s}^{\prime}(\xi)+% \tfrac{1}{2}\int\psi(\xi)A_{s}(\xi)\mathrm{d}\xi,}}


Constraint(s)

s = 0 , 1 , 2 , … 𝑠 0 1 2 … {\displaystyle{\displaystyle s=0,1,2,\dots}}

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • A s ⁢ ( ξ ) subscript 𝐴 𝑠 𝜉 {\displaystyle{\displaystyle A_{s}(\xi)}} : coefficients
  • ψ ⁢ ( ξ ) 𝜓 𝜉 {\displaystyle{\displaystyle\psi(\xi)}} : function
  •  Edit this on Wikidata

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