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Fungrim entry: 23beb5

σ ⁣(−z,τ)=−σ ⁣(z,τ)\sigma\!\left(-z, \tau\right) = -\sigma\!\left(z, \tau\right)
Assumptions:z∈C  and⁡  τ∈Hz \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \tau \in \mathbb{H}
TeX:
\sigma\!\left(-z, \tau\right) = -\sigma\!\left(z, \tau\right)

z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \tau \in \mathbb{H}
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("23beb5"),
    Formula(Equal(WeierstrassSigma(Neg(z), tau), Neg(WeierstrassSigma(z, tau)))),
    Variables(z, tau),
    Assumptions(And(Element(z, CC), Element(tau, HH))))

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

2021-03-15 19:12:00.328586 UTC