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Fungrim entry: 5f3210

Symbol: WeierstrassSigma σ ⁣(z,τ)\sigma\!\left(z, \tau\right) Weierstrass sigma function
Domain Codomain
Numbers
zCandτHz \in \mathbb{C} \,\mathbin{\operatorname{and}}\, \tau \in \mathbb{H} σ ⁣(z,τ)C\sigma\!\left(z, \tau\right) \in \mathbb{C}
Table data: (P,Q)\left(P, Q\right) such that (P)    (Q)\left(P\right) \implies \left(Q\right)
Definitions:
Fungrim symbol Notation Short description
WeierstrassSigmaσ ⁣(z,τ)\sigma\!\left(z, \tau\right) Weierstrass sigma function
CCC\mathbb{C} Complex numbers
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("5f3210"),
    SymbolDefinition(WeierstrassSigma, WeierstrassSigma(z, tau), "Weierstrass sigma function"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(TableSection("Numbers"), Tuple(And(Element(z, CC), Element(tau, HH)), Element(WeierstrassSigma(z, tau), CC)))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-09-15 14:14:26.267625 UTC