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Formula:10150

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Digital Library of Mathematical Functions ID 32.11.E23

θ = - 3 4 ⁢ π - 7 2 ⁢ ρ 2 ⁢ ln ⁡ 2 + ph ⁡ ( 1 + s 2 ) + ph ⁡ Γ ⁡ ( i ⁢ ρ 2 ) , 𝜃 3 4 𝜋 7 2 superscript 𝜌 2 2 phase 1 superscript 𝑠 2 phase Euler-Gamma 𝑖 superscript 𝜌 2 {\displaystyle{\displaystyle\theta=-\tfrac{3}{4}\pi-\tfrac{7}{2}\rho^{2}\ln{2}% +\operatorname{ph}\left(1+s^{2}\right)+\operatorname{ph}\Gamma\left(i\rho^{2}% \right),}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • ph phase {\displaystyle{\displaystyle\operatorname{ph}}} : phase
  • ρ 𝜌 {\displaystyle{\displaystyle\rho}} : real constant
  • θ 𝜃 {\displaystyle{\displaystyle\theta}} : real constant
  • s 𝑠 {\displaystyle{\displaystyle s}} : 32.11.E24
  •  Edit this on Wikidata

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