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Formula:10247

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Digital Library of Mathematical Functions ID 33.9.E5

4 ⁢ η 2 ⁢ ( k - 2 ⁢ ℓ ) ⁢ b k + 1 + k ⁢ b k - 1 + b k - 2 = 0 , 4 superscript 𝜂 2 𝑘 2 ℓ subscript 𝑏 𝑘 1 𝑘 subscript 𝑏 𝑘 1 subscript 𝑏 𝑘 2 0 {\displaystyle{\displaystyle{4\eta^{2}(k-2\ell)b_{k+1}+kb_{k-1}+b_{k-2}=0},}}


Constraint(s)

k = 2 ⁢ ℓ + 2 , 2 ⁢ ℓ + 3 , … 𝑘 2 ℓ 2 2 ℓ 3 … {\displaystyle{\displaystyle k=2\ell+2,2\ell+3,\dots}}

Symbols List

  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • ℓ ℓ {\displaystyle{\displaystyle\ell}} : nonnegative integer
  • η 𝜂 {\displaystyle{\displaystyle\eta}} : real parameter
  • b k subscript 𝑏 𝑘 {\displaystyle{\displaystyle b_{k}}} : coefficient
  •  Edit this on Wikidata

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