DLMF:14.30.E6 (Q4968)

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DLMF:14.30.E6
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    Statements

    Defining formula
    Y l , - m ⁡ ( θ , ϕ ) = ( - 1 ) m ⁢ Y l , m ⁡ ( θ , ϕ ) ¯ . spherical-harmonic-Y 𝑙 𝑚 𝜃 italic-ϕ superscript 1 𝑚 spherical-harmonic-Y 𝑙 𝑚 𝜃 italic-ϕ {\displaystyle{\displaystyle Y_{{l},{-m}}\left(\theta,\phi\right)=(-1)^{m}% \overline{Y_{{l},{m}}\left(\theta,\phi\right)}.}}
    0 references
    DLMF id
    DLMF:14.30.E6
    0 references
    Symbols used
    complex conjugate
    Defining formula
    z ¯ 𝑧 {\displaystyle{\displaystyle\overline{\NVar{z}}}}
    xml-id
    C1.S9.E11.m2adec
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    spherical harmonic
    Defining formula
    Y l , m ⁡ ( θ , ϕ ) spherical-harmonic-Y 𝑙 𝑚 𝜃 italic-ϕ {\displaystyle{\displaystyle Y_{{\NVar{l}},{\NVar{m}}}\left(\NVar{\theta},% \NVar{\phi}\right)}}
    xml-id
    C14.S30.E1.m2addec
    0 references
     
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