DLMF:23.3.E10 (Q7222): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12056 / rank
 
Normal rank
Property / Symbols used: Q12056 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12056 / qualifier
 
xml-id: C23.S1.XMD7.m1bdec

Latest revision as of 15:44, 2 January 2020

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DLMF:23.3.E10
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    Statements

    Defining formula
    ℘ ′ 2 ⁢ ( z ) = 4 ⁢ ℘ 3 ⁡ ( z ) - g 2 ⁡ ⁢ ℘ ⁡ ( z ) - g 3 ⁡ , superscript diffop Weierstrass-P-on-invariants 1 2 𝑧 4 Weierstrass-P-on-invariants 3 𝑧 Weierstrass-invariants-on-lattice 2 𝕃 Weierstrass-invariants-on-lattice 3 𝕃 Weierstrass-invariants-on-lattice 2 𝕃 Weierstrass-P-on-invariants 𝑧 Weierstrass-invariants-on-lattice 2 𝕃 Weierstrass-invariants-on-lattice 3 𝕃 Weierstrass-invariants-on-lattice 3 𝕃 {\displaystyle{\displaystyle{\wp'}^{2}(z)=4{\wp^{3}}\left(z\right)-g_{2}\wp% \left(z\right)-g_{3},}}
    0 references
    DLMF id
    DLMF:23.3.E10
    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.m2aadec
    0 references
    Q12054
    Defining formula
    g j ⁡ Weierstrass-invariants-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle g_{\NVar{j}}}}
    xml-id
    C23.S3.EGx1.m1agdec
    0 references
    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1idec
    0 references
    Q12056
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C23.S1.XMD7.m1bdec
    0 references
     
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