DLMF:33.5.E7 (Q9529)

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DLMF:33.5.E7
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    Statements

    Defining formula
    σ 0 ⁡ ( η ) ∼ - γ ⁢ η , asymptotically-equals Coulomb-phase-shift 0 𝜂 𝜂 {\displaystyle{\displaystyle{\sigma_{0}}\left(\eta\right)\sim-\gamma\eta,}}
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    DLMF id
    DLMF:33.5.E7
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    constraint
    η → 0 → 𝜂 0 {\displaystyle{\displaystyle\eta\to 0}}
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    Symbols used
    Coulomb phase shift
    Defining formula
    σ ℓ ⁡ ( η ) Coulomb-phase-shift ℓ 𝜂 {\displaystyle{\displaystyle{\sigma_{\NVar{\ell}}}\left(\NVar{\eta}\right)}}
    xml-id
    C33.S2.E10.m2adec
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    Euler’s constant
    Defining formula
    γ {\displaystyle{\displaystyle\gamma}}
    xml-id
    C5.S2.E3.m2adec
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    asymptotic equality
    Defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2abdec
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