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Formula:9296

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Digital Library of Mathematical Functions ID 29.3.E15

β p = { 2 - k 2 - 1 2 ⁢ ν ⁢ ( ν + 1 ) ⁢ k 2 , p = 0 , ( 2 ⁢ p + 1 ) 2 ⁢ ( 2 - k 2 ) , p ≥ 1 , subscript 𝛽 𝑝 cases 2 superscript 𝑘 2 1 2 𝜈 𝜈 1 superscript 𝑘 2 𝑝 0 superscript 2 𝑝 1 2 2 superscript 𝑘 2 𝑝 1 {\displaystyle{\displaystyle\beta_{p}=\begin{cases}2-k^{2}-\tfrac{1}{2}\nu(\nu% +1)k^{2},&p=0,\\ (2p+1)^{2}(2-k^{2}),&p\geq 1,\end{cases}}}


Constraint(s)

Symbols List

  • p 𝑝 {\displaystyle{\displaystyle p}} : nonnegative integer
  • k 𝑘 {\displaystyle{\displaystyle k}} : real parameter
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : real parameter
  • β p subscript 𝛽 𝑝 {\displaystyle{\displaystyle\beta_{p}}} : β p
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This page was last edited on 28 January 2024, at 10:30.
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