Fungrim entry: bbfb6c

\lambda\!\left(\tau + 1\right) = \frac{\lambda(\tau)}{\lambda(\tau) - 1}

Assumptions:

\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
`ModularLambda`	$\lambda(\tau)$	Modular lambda function
`HH`	$\mathbb{H}$	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)))

Topics using this entry

Modular lambda function

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