Dixon: Dixon elliptic functions
In jacobi: Jacobi Theta Functions and Related Functions

Dixon

R Documentation

Dixon elliptic functions

Description

The Dixon elliptic functions.

Usage

sm(z)

cm(z)

Arguments

`z`	a real or complex number

Value

A complex number.

Examples

# cubic Fermat curve x^3+y^3=1
pi3 <- beta(1/3, 1/3)
epsilon <- 0.7
t_ <- seq(-pi3/3 + epsilon, 2*pi3/3 - epsilon, length.out = 100)
pts <- t(vapply(t_, function(t) {
  c(Re(cm(t)), Re(sm(t)))
}, FUN.VALUE = numeric(2L)))
plot(pts, type = "l", asp = 1)

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