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Fungrim entry: 881aee

HolomorphicDomain⁡ ⁣(σ ⁣(z,τ),z,C)=C\operatorname{HolomorphicDomain}\!\left(\sigma\!\left(z, \tau\right), z, \mathbb{C}\right) = \mathbb{C}
Assumptions:τ∈H\tau \in \mathbb{H}
TeX:
\operatorname{HolomorphicDomain}\!\left(\sigma\!\left(z, \tau\right), z, \mathbb{C}\right) = \mathbb{C}

\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("881aee"),
    Formula(Equal(HolomorphicDomain(WeierstrassSigma(z, tau), z, CC), CC)),
    Variables(tau),
    Assumptions(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.

2019-06-18 07:49:59.356594 UTC