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elliptic (version 1.2-3)

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

1.2-3

License

GPL-2

Maintainer

Robin S. Hankin

Last Published

November 10th, 2025

Functions in elliptic (1.2-3)

Generalized square root

Jacobi theta functions 1-4

Complex integration

Numerical verification of equations 16.28.1 to 16.28.5

Are two vectors close to one another?

quarter period K

Calculates half periods in terms of e

Fast, conceptually simple, iterative scheme for Weierstrass P functions

Jacobi form of the elliptic functions

Massages numbers near the real line to be real

newton.rapheson

Newton Rapheson iteration to find roots of equations

Lattice of complex numbers

Wrappers for PARI functions

matrix a on page 637

Limit the magnitude of elements of a vector

theta1.dash.zero

Derivative of theta1

Derivatives of theta functions

Plots a lattice of periods on the complex plane

Dedekind's eta function

Manipulate real or imaginary components of an object

Visualization of complex functions

Special cases of the Weierstrass elliptic function

Laurent series for elliptic and related functions

Weierstrass P and related functions

Numerical checks of equations 18.10.9-11, page 650

Unimodular matrices

Neville's form for the theta functions

Various modular functions

Coefficients of Laurent expansion of Weierstrass P function

Moebius transformations

Nome in terms of m or k

Number theoretic functions

Converts basic periods to a primitive pair

elliptic-package

Elliptic and modular functions

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

Solves mx+by=1 for x and y

Farey sequences

Fundamental period parallelogram

Parameters for Weierstrass's P function

Calculates the invariants g2 and g3

Calculate e1, e2, e3 from the invariants