Fungrim home page

Fungrim entry: f2e28a

θ1′ ⁣(0,τ)=πθ2 ⁣(0,τ)θ3 ⁣(0,τ)θ4 ⁣(0,τ)\theta'_{1}\!\left(0 , \tau\right) = \pi \theta_{2}\!\left(0 , \tau\right) \theta_{3}\!\left(0 , \tau\right) \theta_{4}\!\left(0 , \tau\right)
Assumptions:τ∈H\tau \in \mathbb{H}
TeX:
\theta'_{1}\!\left(0 , \tau\right) = \pi \theta_{2}\!\left(0 , \tau\right) \theta_{3}\!\left(0 , \tau\right) \theta_{4}\!\left(0 , \tau\right)

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
JacobiThetaθj ⁣(z,τ)\theta_{j}\!\left(z , \tau\right) Jacobi theta function
Piπ\pi The constant pi (3.14...)
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("f2e28a"),
    Formula(Equal(JacobiTheta(1, 0, tau, 1), Mul(Mul(Mul(Pi, JacobiTheta(2, 0, tau)), JacobiTheta(3, 0, tau)), JacobiTheta(4, 0, tau)))),
    Variables(tau),
    Assumptions(And(Element(tau, HH))))

Topics using this entry

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