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Formula:6424

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Digital Library of Mathematical Functions ID 18.16.E4

( m + 1 2 ⁢ ( α + β - 1 ) ) ⁢ π ρ < θ n , m < m ⁢ π ρ , 𝑚 1 2 𝛼 𝛽 1 𝜋 𝜌 subscript 𝜃 𝑛 𝑚 𝑚 𝜋 𝜌 {\displaystyle{\displaystyle{\frac{\left(m+\tfrac{1}{2}(\alpha+\beta-1)\right)% \pi}{\rho}<\theta_{n,m}<\frac{m\pi}{\rho}},}}


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

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • [ 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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