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elliptic (version 1.0-0)

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

1.0-0

License

GPL

Maintainer

Robin Hankin

Last Published

November 10th, 2025

Functions in elliptic (1.0-0)

J

Various modular functions
divisor

Number theoretic functions
massage

Massages numbers near the real line to be real
theta.neville

Neville's form for the theta functions
e16.28.1

Numerical verification of equations 16.28.1 to 16.28.5
g.fun

Calculates the invariants g2 and g3
parameters

Parameters for Weierstrass's P function
p1.tau

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

Special cases of the Weierstrass elliptic function
mob

Moebius transformations
unimodular

Unimodular matrices
K.fun

quarter period K
lattice

Lattice of complex numbers
theta

Jacobi theta functions 1-4
sqrti

Generalized square root
half.periods

Calculates half periods in terms of e
view

Visualization of complex functions
congruence

Solves mx+by=1 for x and y
fpp

Fundamental period parallelogram
newton.rapheson

Newton Rapheson iteration to find roots of equations
coqueraux

Fast, conceptually simple, iterative scheme for Weierstrass P functions
nome

Nome in terms of m or k
P.laurent

Laurent series for elliptic and related functions
e18.10.9

Numerical checks of equations 18.10.9-11, page 650
amn

matrix a on page 637
limit

Limit the magnitude of elements of a vector
myintegrate

Complex integration
eta

Dedekind's eta function
pari

Wrappers for PARI functions
theta1dash

Derivatives of theta functions
theta1.dash.zero

Derivative of theta1
as.primitive

Converts basic periods to a primitive pair
near.match

Are two vectors close to one another?
e1e2e3

Calculate e1, e2, e3 from the invariants
sn

Jacobi form of the elliptic functions
WeierstrassP

Weierstrass P and related functions
ck

Coefficients of Laurent expansion of Weierstrass P function
farey

Farey sequences
latplot

Plots a lattice of periods on the complex plane
misc

Manipulate real or imaginary components of an object