DLMF:31.15.E11 (Q9130): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: weight function (locally) / rank
 
Normal rank
Property / Symbols used: weight function (locally) / qualifier
 
Defining formula:

ρ ⁢ ( z ) 𝜌 𝑧 {\displaystyle{\displaystyle\rho(z)}}

\rho(z)
Property / Symbols used: weight function (locally) / qualifier
 
xml-id: C31.S15.XMD7.m1dec

Latest revision as of 13:45, 2 January 2020

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DLMF:31.15.E11
No description defined

    Statements

    Defining formula
    ( 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,}}
    0 references
    DLMF id
    DLMF:31.15.E11
    0 references
    Symbols used
    complex conjugate
    Defining formula
    z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}}
    xml-id
    C1.S9.E11.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q10777
    Defining formula
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6acdec
    0 references
    Q12457
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C31.S1.XMD1.m1fdec
    0 references
    set (locally)
    Defining formula
    Q 𝑄 {\displaystyle{\displaystyle Q}}
    xml-id
    C31.S15.XMD6.m1adec
    0 references
    weight function (locally)
    Defining formula
    ρ ⁢ ( z ) 𝜌 𝑧 {\displaystyle{\displaystyle\rho(z)}}
    xml-id
    C31.S15.XMD7.m1dec
    0 references
     
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