DLMF:23.2.E6 (Q7201)

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DLMF:23.2.E6
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    Statements

    Defining formula
    σ ⁡ ( z ) = z ⁢ ∏ w ∈ 𝕃 ∖ { 0 } ( ( 1 - z w ) ⁢ exp ⁡ ( z w + z 2 2 ⁢ w 2 ) ) . Weierstrass-sigma-on-lattice 𝑧 𝕃 𝑧 subscript product 𝑤 𝕃 0 1 𝑧 𝑤 𝑧 𝑤 superscript 𝑧 2 2 superscript 𝑤 2 {\displaystyle{\displaystyle{}\sigma\left(z\right)=z\prod_{w\in\mathbb{L}% \setminus\{0\}}\left(\left(1-\frac{z}{w}\right)\exp\left(\frac{z}{w}+\frac{z^{% 2}}{2w^{2}}\right)\right).}}
    0 references
    DLMF id
    DLMF:23.2.E6
    0 references
    Symbols used
    Q12054
    Defining formula
    g j ⁡ Weierstrass-invariants-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle g_{\NVar{j}}}}
    xml-id
    C23.S3.EGx1.m1abdec
    0 references
    Q12058
    Defining formula
    σ ⁡ ( z ; g 2 ⁡ ⁢ missing , missing ) Weierstrass-sigma-on-invariants 𝑧 Weierstrass-invariants-on-lattice 2 𝕃 missing {\displaystyle{\displaystyle\sigma\left(\NVar{z};\NVar{g_{2}}{missing},missing% \right)\)\@add@PDF@RDFa@triples\end{document}}}
    xml-id
    C23.S3.SS1.p3.m8adec
    0 references
    Q10784
    Defining formula
    ∈ {\displaystyle{\displaystyle\in}}
    xml-id
    introduction.Sx4.p1.t1.r10.m2abdec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    Q10785
    Defining formula
    ∖ {\displaystyle{\displaystyle\setminus}}
    xml-id
    introduction.Sx4.p2.t1.r19.m2abdec
    0 references
     
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