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Fungrim entry: bbfb6c

λ ⁣(τ+1)=λ(τ)λ(τ)1\lambda\!\left(\tau + 1\right) = \frac{\lambda(\tau)}{\lambda(\tau) - 1}
Assumptions:τH\tau \in \mathbb{H}
TeX:
\lambda\!\left(\tau + 1\right) = \frac{\lambda(\tau)}{\lambda(\tau) - 1}

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
ModularLambdaλ(τ)\lambda(\tau) Modular lambda function
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("bbfb6c"),
    Formula(Equal(ModularLambda(Add(tau, 1)), Div(ModularLambda(tau), Sub(ModularLambda(tau), 1)))),
    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.

2019-12-30 15:00:46.909060 UTC