DLMF:29.10.E2 (Q8715)

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DLMF:29.10.E2
No description defined

    Statements

    Defining formula
    z ′ = i ⁢ ( z - K ⁡ - i ⁢ K ′ ⁡ ) , superscript 𝑧 ′ imaginary-unit 𝑧 complete-elliptic-integral-first-kind-K 𝑘 imaginary-unit complementary-complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle z^{\prime}=\mathrm{i}(z-K-\mathrm{i}{K^{\prime}})% ,}}
    0 references
    DLMF id
    DLMF:29.10.E2
    0 references
    Symbols used
    Q11821
    Defining formula
    K ′ ⁡ ( k ) complementary-complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle{K^{\prime}}\left(\NVar{k}\right)}}
    xml-id
    C19.S2.E9.m1adec
    0 references
    Q11600
    Defining formula
    K ⁡ ( k ) complete-elliptic-integral-first-kind-K 𝑘 {\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
    xml-id
    C19.S2.E8.m1adec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
    0 references
    Q12348
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C29.S1.XMD6.m1dec
    0 references
    Q12350
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1dec
    0 references
     
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