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Formula:9562

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Digital Library of Mathematical Functions ID 30.8.E4

A k ⁢ f k - 1 + ( B k - λ n m ⁡ ( γ 2 ) ) ⁢ f k + C k ⁢ f k + 1 = 0 , subscript 𝐴 𝑘 subscript 𝑓 𝑘 1 subscript 𝐵 𝑘 spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 subscript 𝑓 𝑘 subscript 𝐶 𝑘 subscript 𝑓 𝑘 1 0 {\displaystyle{\displaystyle A_{k}f_{k-1}+\left(B_{k}-\lambda^{m}_{n}\left(% \gamma^{2}\right)\right)f_{k}+C_{k}f_{k+1}=0,}}


Constraint(s)

Symbols List

  • λ n m ⁡ ( γ 2 ) spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 {\displaystyle{\displaystyle\lambda^{\NVar{m}}_{\NVar{n}}\left(\NVar{\gamma^{2% }}\right)}} :
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n ≥ m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}} : integer degree
  • γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}} : real parameter
  • A k subscript 𝐴 𝑘 {\displaystyle{\displaystyle A_{k}}} : A k
  • B k subscript 𝐵 𝑘 {\displaystyle{\displaystyle B_{k}}} : B k
  • C k subscript 𝐶 𝑘 {\displaystyle{\displaystyle C_{k}}} : C k
  •  Edit this on Wikidata

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