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elliptic (version 1.1-9)

elliptic functions

Description

A suite of elliptic and related functions including Weierstrass and Jacobi forms. Also includes various tools for manipulating and visualizing complex functions.

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Version

Install

install.packages('elliptic')

Monthly Downloads

25,111

Version

1.1-9

License

GPL-2

Maintainer

Robin S. Hankin

Last Published

November 10th, 2025

Functions in elliptic (1.1-9)

elliptic-package

Elliptic and modular functions

Lattice of complex numbers

Wrappers for PARI functions

Laurent series for elliptic and related functions

Numerical verification of equations 16.28.1 to 16.28.5

Various modular functions

Limit the magnitude of elements of a vector

Numerical checks of equations 18.10.9-11, page 650

Solves mx+by=1 for x and y

Dedekind's eta function

Special cases of the Weierstrass elliptic function

Farey sequences

Moebius transformations

Coefficients of Laurent expansion of Weierstrass P function

Fundamental period parallelogram

Visualization of complex functions

Nome in terms of m or k

Derivatives of theta functions

Manipulate real or imaginary components of an object

quarter period K

Parameters for Weierstrass's P function

Weierstrass P and related functions

Calculates the invariants g2 and g3

Are two vectors close to one another?

Calculate e1, e2, e3 from the invariants

Unimodular matrices

Jacobi form of the elliptic functions

Plots a lattice of periods on the complex plane

Calculates half periods in terms of e

Complex integration

matrix a on page 637

Does the right thing when calling g2.fun() and g3.fun()

Generalized square root

Neville's form for the theta functions

Jacobi theta functions 1-4

Fast, conceptually simple, iterative scheme for Weierstrass P functions

theta1.dash.zero

Derivative of theta1

Massages numbers near the real line to be real

Number theoretic functions

newton.rapheson

Newton Rapheson iteration to find roots of equations

Converts basic periods to a primitive pair