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Formula:10155

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Digital Library of Mathematical Functions ID 32.11.E28

B = 2 - 2 ⁢ σ ⁢ Γ 2 ⁡ ( 1 2 ⁢ ( 1 - σ ) ) ⁢ Γ ⁡ ( 1 2 ⁢ ( 1 + σ ) + ν ) Γ 2 ⁡ ( 1 2 ⁢ ( 1 + σ ) ) ⁢ Γ ⁡ ( 1 2 ⁢ ( 1 - σ ) + ν ) . 𝐵 superscript 2 2 𝜎 Euler-Gamma 2 1 2 1 𝜎 Euler-Gamma 1 2 1 𝜎 𝜈 Euler-Gamma 2 1 2 1 𝜎 Euler-Gamma 1 2 1 𝜎 𝜈 {\displaystyle{\displaystyle B=2^{-2\sigma}\frac{{\Gamma^{2}}\left(\tfrac{1}{2% }(1-\sigma)\right)\Gamma\left(\tfrac{1}{2}(1+\sigma)+\nu\right)}{{\Gamma^{2}}% \left(\tfrac{1}{2}(1+\sigma)\right)\Gamma\left(\tfrac{1}{2}(1-\sigma)+\nu% \right)}.}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : parameter
  • B 𝐵 {\displaystyle{\displaystyle B}} : constant
  • σ 𝜎 {\displaystyle{\displaystyle\sigma}} : constant
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