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elliptic (version 1.0-7)

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

1.0-7

License

GPL

Maintainer

Robin Hankin

Last Published

November 10th, 2025

Functions in elliptic (1.0-7)

Weierstrass P and related functions

Calculates the invariants g2 and g3

newton.rapheson

Newton Rapheson iteration to find roots of equations

quarter period K

Visualization of complex functions

Plots a lattice of periods on the complex plane

Massages numbers near the real line to be real

Parameters for Weierstrass's P function

Calculates half periods in terms of e

Lattice of complex numbers

Farey sequences

Are two vectors close to one another?

Complex integration

Laurent series for elliptic and related functions

Converts basic periods to a primitive pair

Numerical verification of equations 16.28.1 to 16.28.5

Calculate e1, e2, e3 from the invariants

Solves mx+by=1 for x and y

Nome in terms of m or k

Derivatives of theta functions

Manipulate real or imaginary components of an object

matrix a on page 637

Dedekind's eta function

Neville's form for the theta functions

Generalized square root

Coefficients of Laurent expansion of Weierstrass P function

Jacobi form of the elliptic functions

Jacobi theta functions 1-4

Various modular functions

Moebius transformations

Number theoretic functions

Fast, conceptually simple, iterative scheme for Weierstrass P functions

Wrappers for PARI functions

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

elliptic-package

Elliptic and modular functions

Fundamental period parallelogram

Limit the magnitude of elements of a vector

Special cases of the Weierstrass elliptic function

Unimodular matrices

Numerical checks of equations 18.10.9-11, page 650

theta1.dash.zero

Derivative of theta1