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elliptic (version 1.2-8)

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

1.2-8

License

GPL-2

Maintainer

Robin K S Hankin

Last Published

August 12th, 2011

Functions in elliptic (1.2-8)

theta

Jacobi theta functions 1-4
p1.tau

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

Fundamental period parallelogram
farey

Farey sequences
near.match

Are two vectors close to one another?
divisor

Number theoretic functions
limit

Limit the magnitude of elements of a vector
amn

matrix a on page 637
e1e2e3

Calculate e1, e2, e3 from the invariants
unimodular

Unimodular matrices
coqueraux

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

Generalized square root
equianharmonic

Special cases of the Weierstrass elliptic function
pari

Wrappers for PARI functions
theta1.dash.zero

Derivative of theta1
mob

Moebius transformations
P.laurent

Laurent series for elliptic and related functions
g.fun

Calculates the invariants g2 and g3
sn

Jacobi form of the elliptic functions
theta.neville

Neville's form for the theta functions
WeierstrassP

Weierstrass P and related functions
J

Various modular functions
theta1dash

Derivatives of theta functions
view

Visualization of complex functions
newton_raphson

Newton Raphson iteration to find roots of equations
ck

Coefficients of Laurent expansion of Weierstrass P function
misc

Manipulate real or imaginary components of an object
myintegrate

Complex integration
latplot

Plots a lattice of periods on the complex plane
eta

Dedekind's eta function
elliptic-package

Elliptic and modular functions
massage

Massages numbers near the real line to be real
lattice

Lattice of complex numbers
nome

Nome in terms of m or k
K.fun

quarter period K
congruence

Solves mx+by=1 for x and y
e18.10.9

Numerical checks of equations 18.10.9-11, page 650
parameters

Parameters for Weierstrass's P function
half.periods

Calculates half periods in terms of e
as.primitive

Converts basic periods to a primitive pair
e16.28.1

Numerical verification of equations 16.28.1 to 16.28.5