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Formula:9527

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Digital Library of Mathematical Functions ID 30.3.E8

λ n m ⁡ ( γ 2 ) = ∑ k = 0 ∞ ℓ 2 ⁢ k ⁢ γ 2 ⁢ k , spheroidal-eigenvalue-lambda 𝑚 𝑛 superscript 𝛾 2 superscript subscript 𝑘 0 subscript ℓ 2 𝑘 superscript 𝛾 2 𝑘 {\displaystyle{\displaystyle\lambda^{m}_{n}\left(\gamma^{2}\right)=\sum_{k=0}^% {\infty}\ell_{2k}\gamma^{2k},}}


Constraint(s)

| γ 2 | < r n m superscript 𝛾 2 superscript subscript 𝑟 𝑛 𝑚 {\displaystyle{\displaystyle|\gamma^{2}|<r_{n}^{m}}}

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
  • ℓ j subscript ℓ 𝑗 {\displaystyle{\displaystyle\ell_{j}}} : coefficients
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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