jtheta3: Jacobi theta function three

In jacobi: Jacobi Theta Functions and Related Functions

Jacobi theta function three

Description

Evaluates the third Jacobi theta function.

Usage

jtheta3(z, tau = NULL, q = NULL)

ljtheta3(z, tau = NULL, q = NULL)

Arguments

z	complex number, vector, or matrix
tau	lattice parameter, a complex number with strictly positive imaginary part; the two complex numbers tau and q are related by q = exp(1i*pi*tau), and only one of them must be supplied
q	the nome, a complex number whose modulus is strictly less than one, but not zero

Value

A complex number, vector or matrix; jtheta3 evaluates the third Jacobi theta function and ljtheta3 evaluates its logarithm.

Examples

jtheta3(1 + 1i, q = exp(-pi/2))

jacobi documentation built on Nov. 19, 2023, 1:08 a.m.