DLMF:33.5.E6 (Q9528)

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DLMF:33.5.E6
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    Statements

    Defining formula
    C ℓ ⁡ ( 0 ) = 2 ℓ ⁢ ℓ ! ( 2 ⁢ ℓ + 1 ) ! = 1 ( 2 ⁢ ℓ + 1 ) !! . Coulomb-C ℓ 0 superscript 2 ℓ ℓ 2 ℓ 1 1 double-factorial 2 ℓ 1 {\displaystyle{\displaystyle C_{\ell}\left(0\right)=\frac{2^{\ell}\ell!}{(2% \ell+1)!}=\frac{1}{(2\ell+1)!!}.}}
    0 references
    DLMF id
    DLMF:33.5.E6
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    Symbols used
    normalizing constant for Coulomb radial functions
    Defining formula
    C ℓ ⁡ ( η ) Coulomb-C ℓ 𝜂 {\displaystyle{\displaystyle C_{\NVar{\ell}}\left(\NVar{\eta}\right)}}
    xml-id
    C33.S2.E5.m2abdec
    0 references
     
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