DLMF:19.20.E11 (Q7092)

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DLMF:19.20.E11
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    Statements

    DLMF defining formula
    R J ⁡ ( 0 , y , z , p ) ∼ 3 2 ⁢ p ⁢ z ⁢ ln ⁡ ( 16 ⁢ z y ) , asymptotically-equals Carlson-integral-RJ 0 𝑦 𝑧 𝑝 3 2 𝑝 𝑧 16 𝑧 𝑦 {\displaystyle{\displaystyle R_{J}\left(0,y,z,p\right)\sim\frac{3}{2p\sqrt{z}}% \ln\left(\frac{16z}{y}\right),}}
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    constraint
    ≠ 0 absent 0 {\displaystyle{\displaystyle\neq 0}}
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    Symbols used
    symmetric elliptic integral of third kind
    DLMF defining formula
    R J ⁡ ( x , y , z , p ) Carlson-integral-RJ 𝑥 𝑦 𝑧 𝑝 {\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}}
    xml-id
    C19.S16.E2.m2aedec
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    asymptotic equality
    DLMF defining formula
    ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.E1.m2adec
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    principal branch of logarithm function
    DLMF defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
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    Identifiers

     
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