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Formula:3415

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Digital Library of Mathematical Functions ID 8.20.E4

A k + 1 ⁢ ( λ ) = ( 1 - 2 ⁢ k ⁢ λ ) ⁢ A k ⁢ ( λ ) + λ ⁢ ( λ + 1 ) ⁢ d A k ⁢ ( λ ) d λ , subscript 𝐴 𝑘 1 𝜆 1 2 𝑘 𝜆 subscript 𝐴 𝑘 𝜆 𝜆 𝜆 1 derivative subscript 𝐴 𝑘 𝜆 𝜆 {\displaystyle{\displaystyle A_{k+1}(\lambda)=(1-2k\lambda)A_{k}(\lambda)+% \lambda(\lambda+1)\frac{\mathrm{d}A_{k}(\lambda)}{\mathrm{d}\lambda},}}


Constraint(s)

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

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 $$x$$
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • A k ⁢ ( λ ) subscript 𝐴 𝑘 𝜆 {\displaystyle{\displaystyle A_{k}(\lambda)}} : A k ( λ )
  •  Edit this on Wikidata

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