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Fungrim entry: 881aee

σ ⁣(z,τ) is holomorphic on zC\sigma\!\left(z, \tau\right) \text{ is holomorphic on } z \in \mathbb{C}
Assumptions:τH\tau \in \mathbb{H}
TeX:
\sigma\!\left(z, \tau\right) \text{ is holomorphic on } z \in \mathbb{C}

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
IsHolomorphicf(z) is holomorphic at z=cf(z) \text{ is holomorphic at } z = c Holomorphic predicate
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(IsHolomorphic(WeierstrassSigma(z, tau), ForElement(z, CC))),
    Variables(tau),
    Assumptions(Element(tau, HH)))

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2020-04-08 16:14:44.404316 UTC