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elliptic (version 1.1-1)

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

1.1-1

License

GPL

Maintainer

Robin Hankin

Last Published

November 10th, 2025

Functions in elliptic (1.1-1)

Solves mx+by=1 for x and y

Special cases of the Weierstrass elliptic function

Generalized square root

Massages numbers near the real line to be real

Are two vectors close to one another?

elliptic-package

Elliptic and modular functions

theta1.dash.zero

Derivative of theta1

Wrappers for PARI functions

Plots a lattice of periods on the complex plane

Number theoretic functions

Numerical checks of equations 18.10.9-11, page 650

Jacobi form of the elliptic functions

Calculate e1, e2, e3 from the invariants

Manipulate real or imaginary components of an object

Numerical verification of equations 16.28.1 to 16.28.5

quarter period K

Complex integration

Lattice of complex numbers

Moebius transformations

newton.rapheson

Newton Rapheson iteration to find roots of equations

Laurent series for elliptic and related functions

Fundamental period parallelogram

Unimodular matrices

Calculates half periods in terms of e

Fast, conceptually simple, iterative scheme for Weierstrass P functions

Coefficients of Laurent expansion of Weierstrass P function

Calculates the invariants g2 and g3

Various modular functions

Nome in terms of m or k

Visualization of complex functions

Converts basic periods to a primitive pair

Parameters for Weierstrass's P function

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

Jacobi theta functions 1-4

Weierstrass P and related functions

Derivatives of theta functions

Farey sequences

Limit the magnitude of elements of a vector

Dedekind's eta function

matrix a on page 637

Neville's form for the theta functions