Fungrim entry: 3a7a0b

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

Assumptions:

\tau \in \mathbb{H}

TeX:

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

\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("3a7a0b"),
    Formula(Equal(ModularLambda(Div(Sub(tau, 1), tau)), Div(Sub(ModularLambda(tau), 1), ModularLambda(tau)))),
    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