DLMF:33.19.E1 (Q9657)

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DLMF:33.19.E1
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    Statements

    Defining formula
    f ⁡ ( ϵ , ℓ ; r ) = r ℓ + 1 ⁢ ∑ k = 0 ∞ α k ⁢ r k , Coulomb-f italic-ϵ ℓ 𝑟 superscript 𝑟 ℓ 1 superscript subscript 𝑘 0 subscript 𝛼 𝑘 superscript 𝑟 𝑘 {\displaystyle{\displaystyle f\left(\epsilon,\ell;r\right)=r^{\ell+1}\sum_{k=0% }^{\infty}\alpha_{k}r^{k},}}
    0 references
    DLMF id
    DLMF:33.19.E1
    0 references
    Symbols used
    regular Coulomb function
    Defining formula
    f ⁡ ( ϵ , ℓ ; r ) Coulomb-f italic-ϵ ℓ 𝑟 {\displaystyle{\displaystyle f\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right% )}}
    xml-id
    C33.S14.E4.m2adec
    0 references
    Q12669
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C33.S1.XMD1.m1dec
    0 references
    Q12666
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1dec
    0 references
    Q12692
    Defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C33.S1.XMD3.m1dec
    0 references
    Q12693
    Defining formula
    ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}
    xml-id
    C33.S1.XMD6.m1dec
    0 references
     
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