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Formula:3368

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Digital Library of Mathematical Functions ID 8.18.E4

a ⁢ F k + 1 = ( k + b - a ⁢ ξ ) ⁢ F k + k ⁢ ξ ⁢ F k - 1 , 𝑎 subscript 𝐹 𝑘 1 𝑘 𝑏 𝑎 𝜉 subscript 𝐹 𝑘 𝑘 𝜉 subscript 𝐹 𝑘 1 {\displaystyle{\displaystyle aF_{k+1}=(k+b-a\xi)F_{k}+k\xi F_{k-1},}}


Constraint(s)

Symbols List

  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  • b 𝑏 {\displaystyle{\displaystyle b}} : parameter
  • ξ 𝜉 {\displaystyle{\displaystyle\xi}} : change of variable
  • F k subscript 𝐹 𝑘 {\displaystyle{\displaystyle F_{k}}} : functions
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