DLMF:33.20.E3 (Q9671): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12693 / rank
 
Normal rank
Property / Symbols used: Q12693 / qualifier
 
Defining formula:

ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}

\epsilon
Property / Symbols used: Q12693 / qualifier
 
xml-id: C33.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q12700 / rank
 
Normal rank
Property / Symbols used: Q12700 / qualifier
 
Defining formula:

𝖥 k ⁢ ( ℓ ; r ) subscript 𝖥 𝑘 ℓ 𝑟 {\displaystyle{\displaystyle\mathsf{F}_{k}(\ell;r)}}

\mathsf{F}_{k}(\ell;r)
Property / Symbols used: Q12700 / qualifier
 
xml-id: C33.S20.XMD1.m1dec

Latest revision as of 14:38, 2 January 2020

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DLMF:33.20.E3
No description defined

    Statements

    Defining formula
    f ⁡ ( ϵ , ℓ ; r ) = ∑ k = 0 ∞ ϵ k ⁢ 𝖥 k ⁢ ( ℓ ; r ) , Coulomb-f italic-ϵ ℓ 𝑟 superscript subscript 𝑘 0 superscript italic-ϵ 𝑘 subscript 𝖥 𝑘 ℓ 𝑟 {\displaystyle{\displaystyle f\left(\epsilon,\ell;r\right)=\sum_{k=0}^{\infty}% \epsilon^{k}{\sf F}_{k}(\ell;r),}}
    0 references
    DLMF id
    DLMF:33.20.E3
    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.m2abdec
    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.m1bdec
    0 references
    Q12692
    Defining formula
    r 𝑟 {\displaystyle{\displaystyle r}}
    xml-id
    C33.S1.XMD3.m1bdec
    0 references
    Q12693
    Defining formula
    ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}
    xml-id
    C33.S1.XMD6.m1dec
    0 references
    Q12700
    Defining formula
    𝖥 k ⁢ ( ℓ ; r ) subscript 𝖥 𝑘 ℓ 𝑟 {\displaystyle{\displaystyle\mathsf{F}_{k}(\ell;r)}}
    xml-id
    C33.S20.XMD1.m1dec
    0 references
     
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