DLMF:23.3.E12 (Q7224)

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DLMF:23.3.E12
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    Statements

    Defining formula
    ℘ ′′ ⁡ ( z ) = 6 ⁢ ℘ 2 ⁡ ( z ) - 1 2 ⁢ g 2 ⁡ , diffop Weierstrass-P-on-invariants 2 𝑧 Weierstrass-invariants-on-lattice 2 𝕃 Weierstrass-invariants-on-lattice 3 𝕃 6 Weierstrass-P-on-invariants 2 𝑧 Weierstrass-invariants-on-lattice 2 𝕃 Weierstrass-invariants-on-lattice 3 𝕃 1 2 Weierstrass-invariants-on-lattice 2 𝕃 {\displaystyle{\displaystyle\wp''\left(z\right)=6{\wp^{2}}\left(z\right)-% \tfrac{1}{2}g_{2},}}
    0 references
    DLMF id
    DLMF:23.3.E12
    0 references
    Symbols used
    Weierstrass $$\wp$$ -function
    Defining formula
    ℘ ⁡ ( z ; g 2 ⁡ , ) Weierstrass-P-on-invariants 𝑧 Weierstrass-invariants-on-lattice 2 𝕃 {\displaystyle{\displaystyle\wp\left(\NVar{z};\NVar{g_{2}},\right)\)\@add@PDF@RDFa@triples\end{document}}}
    xml-id
    C23.S3.E8.m2acdec
    0 references
    Q12054
    Defining formula
    g j ⁡ Weierstrass-invariants-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle g_{\NVar{j}}}}
    xml-id
    C23.S3.EGx1.m1aidec
    0 references
    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1kdec
    0 references
     
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