DLMF:33.5.E6 (Q9528)

From DRMF
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:33.5.E6
No description defined

    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
    0 references
    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
    Q11277
    Defining formula
    !! double-factorial {\displaystyle{\displaystyle!!}}
    xml-id
    introduction.Sx4.p1.t1.r16.m7adec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Q12666
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1ddec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9528&oldid=46419"