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DLMF:19.9.E9 - MaRDI portal

DLMF:19.9.E9 (Q6948)

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DLMF:19.9.E9
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    Statements

    DLMF defining formula
    L ⁒ ( a , b ) = 4 ⁒ a ⁒ E ⁑ ( k ) , 𝐿 π‘Ž 𝑏 4 π‘Ž complete-elliptic-integral-second-kind-E π‘˜ {\displaystyle{\displaystyle L(a,b)=4aE\left(k\right),}}
    0 references
    constraint
    a > b π‘Ž 𝑏 {\displaystyle{\displaystyle a>b}}
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    Symbols used
    Legendre’s complete elliptic integral of the second kind
    DLMF defining formula
    E ⁑ ( k ) complete-elliptic-integral-second-kind-E π‘˜ {\displaystyle{\displaystyle E\left(\NVar{k}\right)}}
    xml-id
    C19.S2.E8.m2aedec
    0 references
    real or complex modulus
    DLMF defining formula
    k π‘˜ {\displaystyle{\displaystyle k}}
    xml-id
    C19.S1.XMD5.m1hdec
    0 references
    perimeter
    DLMF defining formula
    L ⁒ ( a , b ) 𝐿 π‘Ž 𝑏 {\displaystyle{\displaystyle L(a,b)}}
    xml-id
    C19.S9.XMD1.m1dec
    0 references

    Identifiers

     
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