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elliptic (version 0.4-15)

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

0.4-15

License

GPL

Maintainer

Robin Hankin

Last Published

November 10th, 2025

Functions in elliptic (0.4-15)

P.laurent

Laurent series for elliptic and related functions
congruence

Solves mx+by=1 for x and y
farey

Farey sequences
pari

Wrappers for PARI functions
theta.neville

Neville's form for the theta functions
nome

Nome in terms of m or k
theta1dash

Derivatives of theta functions
unimodular

Unimodular matrices
massage

Massages numbers near the real line to be real
coqueraux

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

Special cases of the Weierstrass elliptic function
myintegrate

Complex integration
limit

Limit the magnitude of elements of a vector
sn

Jacobi form of the elliptic functions
view

Visualization of complex functions
mob

Moebius transformations
p1.tau

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

matrix a on page 637
near.match

Are two vectors close to one another?
theta

Jacobi theta functions 1-4
e18.10.9

Numerical checks of equations 18.10.9-11, page 650
ck

Coefficients of Laurent expansion of Weierstrass P function
half.periods

Calculates half periods in terms of e
WeierstrassP

Weierstrass P and related functions
J

Various modular functions
K.fun

quarter period K
e16.28.1

Numerical verification of equations 16.28.1 to 16.28.5
misc

Manipulate real or imaginary components of an object
newton.rapheson

Newton Rapheson iteration to find roots of equations
divisor

Number theoretic functions
as.primitive

Converts basic periods to a primitive pair
fpp

Fundamental period parallelogram
lattice

Lattice of complex numbers
parameters

Parameters for Weierstrass's P function
eta

Dedekind's eta function
theta1.dash.zero

Derivative of theta1
sqrti

Generalized square root
g.fun

Calculates the invariants g2 and g3
latplot

Plots a lattice of periods on the complex plane
e1e2e3

Calculate e1, e2, e3 from the invariants