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Formula:6426

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Digital Library of Mathematical Functions ID 18.16.E6

θ n , m ≤ j α , m ( ρ 2 + 1 12 ⁢ ( 1 - α 2 - 3 ⁢ β 2 ) ) 1 2 , subscript 𝜃 𝑛 𝑚 subscript 𝑗 𝛼 𝑚 superscript superscript 𝜌 2 1 12 1 superscript 𝛼 2 3 superscript 𝛽 2 1 2 {\displaystyle{\displaystyle\theta_{n,m}\leq\frac{j_{\alpha,m}}{\left(\rho^{2}% +\tfrac{1}{12}\left(1-\alpha^{2}-3\beta^{2}\right)\right)^{\frac{1}{2}}},}}


Constraint(s)

α , β ∈ [ - 1 2 , 1 2 ] 𝛼 𝛽 1 2 1 2 {\displaystyle{\displaystyle\alpha,\beta\in[-\tfrac{1}{2},\tfrac{1}{2}]}}

Symbols List

  • [ a , b ] 𝑎 𝑏 {\displaystyle{\displaystyle[\NVar{a},\NVar{b}]}} :
  • ∈ {\displaystyle{\displaystyle\in}} :
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • ρ 𝜌 {\displaystyle{\displaystyle\rho}} : 18.15.E5
  • θ n , m subscript 𝜃 𝑛 𝑚 {\displaystyle{\displaystyle\theta_{n,m}}} : zeros
  •  Edit this on Wikidata

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