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Formula:6529

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Digital Library of Mathematical Functions ID 18.19.E2

w ⁢ ( z ; a , b , a ¯ , b ¯ ) = Γ ⁡ ( a + i ⁢ z ) ⁢ Γ ⁡ ( b + i ⁢ z ) ⁢ Γ ⁡ ( a ¯ - i ⁢ z ) ⁢ Γ ⁡ ( b ¯ - i ⁢ z ) , 𝑤 𝑧 𝑎 𝑏 𝑎 𝑏 Euler-Gamma 𝑎 𝑖 𝑧 Euler-Gamma 𝑏 𝑖 𝑧 Euler-Gamma 𝑎 𝑖 𝑧 Euler-Gamma 𝑏 𝑖 𝑧 {\displaystyle{\displaystyle w(z;a,b,\overline{a},\overline{b})=\Gamma\left(a+% iz\right)\Gamma\left(b+iz\right)\Gamma\left(\overline{a}-iz\right)\Gamma\left(% \overline{b}-iz\right),}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}} : complex conjugate
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • w ⁢ ( x ) 𝑤 𝑥 {\displaystyle{\displaystyle w(x)}} : weight function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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