DLMF:22.2.E3 (Q6925)

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DLMF:22.2.E3
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    Statements

    Defining formula
    ζ = π ⁢ z 2 ⁢ K ⁡ ( k ) , 𝜁 𝜋 𝑧 2 complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle\zeta=\frac{\pi z}{2K\left(k\right)},}}
    0 references
    DLMF id
    DLMF:22.2.E3
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
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    Q11600
    Defining formula
    K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    xml-id
    C19.S2.E8.m1abdec
    0 references
    Q11985
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C22.S1.XMD3.m1dec
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    Q11984
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1bdec
    0 references
     
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