DLMF:23.14.E2 (Q7328)

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DLMF:23.14.E2
No description defined

    Statements

    Defining formula
    ∫ ℘ 2 ⁡ ( z ) ⁢ d z = 1 6 ⁢ ℘ ′ ⁡ ( z ) + 1 12 ⁢ g 2 ⁡ ⁢ z , Weierstrass-P-on-lattice 2 𝑧 𝕃 𝑧 1 6 diffop Weierstrass-P-on-lattice 1 𝑧 𝕃 1 12 Weierstrass-invariants-on-lattice 2 𝕃 𝑧 {\displaystyle{\displaystyle\int{\wp^{2}}\left(z\right)\mathrm{d}z=\frac{1}{6}% \wp'\left(z\right)+\frac{1}{12}g_{2}z,}}
    0 references
    DLMF id
    DLMF:23.14.E2
    0 references
    Symbols used
    DLMF:23.2.E4
    Defining formula
    ℘ ⁡ ( z ) Weierstrass-P-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E4.m2aadec
    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.m1aadec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3aadec
    0 references
    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1adec
    0 references
    Q12056
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C23.S1.XMD7.m1adec
    0 references
     
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