DLMF:33.9.E1 (Q9551)

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DLMF:33.9.E1
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    Statements

    Defining formula
    F ℓ ⁡ ( η , ρ ) = ρ ⁢ ∑ k = 0 ∞ a k ⁢ 𝗃 ℓ + k ⁡ ( ρ ) , regular-Coulomb-F ℓ 𝜂 𝜌 𝜌 superscript subscript 𝑘 0 subscript 𝑎 𝑘 spherical-Bessel-J ℓ 𝑘 𝜌 {\displaystyle{\displaystyle F_{\ell}\left(\eta,\rho\right)=\rho\sum_{k=0}^{% \infty}a_{k}\mathsf{j}_{\ell+k}\left(\rho\right),}}
    0 references
    DLMF id
    DLMF:33.9.E1
    0 references
    Symbols used
    regular Coulomb radial function
    Defining formula
    F ℓ ⁡ ( η , ρ ) regular-Coulomb-F ℓ 𝜂 𝜌 {\displaystyle{\displaystyle F_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}% \right)}}
    xml-id
    C33.S2.E3.m2adec
    0 references
     
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