wzeta: Weierstrass zeta function

In jacobi: Jacobi Theta Functions and Related Functions

Weierstrass zeta function

Description

Evaluation of the Weierstrass zeta function.

Usage

wzeta(z, g = NULL, omega = NULL, tau = NULL)

Arguments

z	complex number, vector or matrix
g	the elliptic invariants, a vector of two complex numbers; only one of g, omega and tau must be given
omega	the half-periods, a vector of two complex numbers; only one of g, omega and tau must be given
tau	the half-periods ratio; supplying tau is equivalent to supply omega = c(1/2, tau/2)

Value

A complex number, vector or matrix.

Examples

# Mirror symmetry property:
z <- 1 + 1i
g <- c(1i, 1+2i)
wzeta(Conj(z), Conj(g))
Conj(wzeta(z, g))

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