DLMF:23.2.E6 (Q7201): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(5 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12058 / rank
 
Normal rank
Property / Symbols used: Q12058 / qualifier
 
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}}}

\Weierstrasssigmainvar@{\NVar{z}}{\NVar{\Weierstrassinvarlatt{2}@@{\mathbb{L}}% }}{\NVar{\Weierstrassinvarlatt{3}@@{\mathbb{L}}}}
Property / Symbols used: Q12058 / qualifier
 
xml-id: C23.S3.SS1.p3.m8adec
Property / Symbols used
 
Property / Symbols used: Q10784 / rank
 
Normal rank
Property / Symbols used: Q10784 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\in}}

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2abdec
Property / Symbols used
 
Property / Symbols used: exponential function / rank
 
Normal rank
Property / Symbols used: exponential function / qualifier
 
Defining formula:

exp z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

\exp@@{\NVar{z}}
Property / Symbols used: exponential function / qualifier
 
xml-id: C4.S2.E19.m2adec
Property / Symbols used
 
Property / Symbols used: Q10785 / rank
 
Normal rank
Property / Symbols used: Q10785 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\setminus}}

\setminus
Property / Symbols used: Q10785 / qualifier
 
xml-id: introduction.Sx4.p2.t1.r19.m2abdec
Property / Symbols used
 
Property / Symbols used: Q12055 / rank
 
Normal rank
Property / Symbols used: Q12055 / qualifier
 
Defining formula:

𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}

\mathbb{L}
Property / Symbols used: Q12055 / qualifier
 
xml-id: C23.S1.XMD1.m1bdec
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 15:42, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:23.2.E6
No description defined

    Statements

    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:23.2.E6
    0 references
    g j Weierstrass-invariants-on-lattice 𝑗 𝕃 {\displaystyle{\displaystyle g_{\NVar{j}}}}
    C23.S3.EGx1.m1abdec
    0 references
    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}}}
    C23.S3.SS1.p3.m8adec
    0 references
    {\displaystyle{\displaystyle\in}}
    introduction.Sx4.p1.t1.r10.m2abdec
    0 references
    exp z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    C4.S2.E19.m2adec
    0 references
    {\displaystyle{\displaystyle\setminus}}
    introduction.Sx4.p2.t1.r19.m2abdec
    0 references
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    C23.S1.XMD1.m1bdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C23.S1.XMD7.m1bdec
    0 references