DLMF:23.6.E36 (Q7279)

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DLMF:23.6.E36
No description defined

    Statements

    Defining formula
    w = ∫ z ∞ d u 4 ⁢ u 3 - g 2 ⁡ ⁢ u - g 3 ⁡ = 1 2 ⁢ ∫ z ∞ d u ( u - e 1 ⁡ ) ⁢ ( u - e 2 ⁡ ) ⁢ ( u - e 3 ⁡ ) , 𝑤 superscript subscript 𝑧 𝑢 4 superscript 𝑢 3 Weierstrass-invariants-on-lattice 2 𝕃 𝑢 Weierstrass-invariants-on-lattice 3 𝕃 1 2 superscript subscript 𝑧 𝑢 𝑢 Weierstrass-e-on-lattice 1 𝕃 𝑢 Weierstrass-e-on-lattice 2 𝕃 𝑢 Weierstrass-e-on-lattice 3 𝕃 {\displaystyle{\displaystyle w=\int_{z}^{\infty}\frac{\mathrm{d}u}{\sqrt{4u^{3% }-g_{2}u-g_{3}}}=\frac{1}{2}\int_{z}^{\infty}\frac{\mathrm{d}u}{\sqrt{(u-e_{1}% )(u-e_{2})(u-e_{3})}},}}
    0 references
    DLMF id
    DLMF:23.6.E36
    0 references
    Symbols used
    Q11869
    Defining formula
    e j ⁡ Weierstrass-e-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle e_{\NVar{j}}}}
    xml-id
    C23.S3.SS1.m1awdec
    0 references
    Q12054
    Defining formula
    g j ⁡ Weierstrass-invariants-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle g_{\NVar{j}}}}
    xml-id
    C23.S3.EGx1.m1adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1afdec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3afdec
    0 references
    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1agdec
    0 references
    Q12056
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C23.S1.XMD7.m1tdec
    0 references
     
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