DLMF:19.6.E10 (Q6164)

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DLMF:19.6.E10
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    Statements

    Defining formula
    lim ϕ → 0 ⁡ E ⁡ ( ϕ , k ) / ϕ = 1 . subscript → italic-ϕ 0 elliptic-integral-second-kind-E italic-ϕ 𝑘 italic-ϕ 1 {\displaystyle{\displaystyle\lim_{\phi\to 0}\ifrac{E\left(\phi,k\right)}{\phi}% =1.}}
    0 references
    DLMF id
    DLMF:19.6.E10
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    Symbols used
    Legendre’s incomplete elliptic integral of the second kind
    Defining formula
    E ⁡ ( ϕ , k ) elliptic-integral-second-kind-E italic-ϕ 𝑘 {\displaystyle{\displaystyle E\left(\NVar{\phi},\NVar{k}\right)}}
    xml-id
    C19.S2.E5.m2aadec
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    Q11807
    Defining formula
    ϕ italic-ϕ {\displaystyle{\displaystyle\phi}}
    xml-id
    C19.S1.XMD4.m1cdec
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