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Formula:9822

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Digital Library of Mathematical Functions ID 31.15.E11

( f , g ) ρ = ∫ Q f ⁢ ( z ) ⁢ g ⁢ ( z ) ¯ ⁢ ρ ⁢ ( z ) ⁢ d z , subscript 𝑓 𝑔 𝜌 subscript 𝑄 𝑓 𝑧 𝑔 𝑧 𝜌 𝑧 𝑧 {\displaystyle{\displaystyle(f,g)_{\rho}=\int_{Q}f(z)\overline{g(z)}\rho(z)% \mathrm{d}z,}}


Constraint(s)

Symbols List

  • z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}} : complex conjugate
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • Q 𝑄 {\displaystyle{\displaystyle Q}} : set (locally)
  • ρ ⁢ ( z ) 𝜌 𝑧 {\displaystyle{\displaystyle\rho(z)}} : weight function (locally)
  •  Edit this on Wikidata

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