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Fungrim entry: 55ee4a

λ(τ) is holomorphic on τH{i}\lambda(\tau) \text{ is holomorphic on } \tau \in \mathbb{H} \cup \left\{i \infty\right\}
TeX:
\lambda(\tau) \text{ is holomorphic on } \tau \in \mathbb{H} \cup \left\{i \infty\right\}
Definitions:
Fungrim symbol Notation Short description
IsHolomorphicf(z) is holomorphic at z=cf(z) \text{ is holomorphic at } z = c Holomorphic predicate
ModularLambdaλ(τ)\lambda(\tau) Modular lambda function
HHH\mathbb{H} Upper complex half-plane
ConstIii Imaginary unit
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("55ee4a"),
    Formula(IsHolomorphic(ModularLambda(tau), ForElement(tau, Union(HH, Set(Mul(ConstI, Infinity)))))))

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2020-04-08 16:14:44.404316 UTC