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elliptic (version 1.3-3)

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

1.3-3

License

GPL-2

Maintainer

Robin K S Hankin

Last Published

December 5th, 2013

Functions in elliptic (1.3-3)

P.laurent

Laurent series for elliptic and related functions
amn

matrix a on page 637
near.match

Are two vectors close to one another?
g.fun

Calculates the invariants g2 and g3
limit

Limit the magnitude of elements of a vector
coqueraux

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

Farey sequences
unimodular

Unimodular matrices
parameters

Parameters for Weierstrass's P function
congruence

Solves mx+by=1 for x and y
theta1dash

Derivatives of theta functions
elliptic-package

Elliptic and modular functions
theta1.dash.zero

Derivative of theta1
ck

Coefficients of Laurent expansion of Weierstrass P function
mob

Moebius transformations
half.periods

Calculates half periods in terms of e
e16.28.1

Numerical verification of equations 16.28.1 to 16.28.5
fpp

Fundamental period parallelogram
lattice

Lattice of complex numbers
newton_raphson

Newton Raphson iteration to find roots of equations
latplot

Plots a lattice of periods on the complex plane
theta.neville

Neville's form for the theta functions
WeierstrassP

Weierstrass P and related functions
theta

Jacobi theta functions 1-4
divisor

Number theoretic functions
J

Various modular functions
e18.10.9

Numerical checks of equations 18.10.9-11, page 650
equianharmonic

Special cases of the Weierstrass elliptic function
view

Visualization of complex functions
p1.tau

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

Complex integration
nome

Nome in terms of m or k
e1e2e3

Calculate e1, e2, e3 from the invariants
sn

Jacobi form of the elliptic functions
sqrti

Generalized square root
as.primitive

Converts basic periods to a primitive pair
K.fun

quarter period K
misc

Manipulate real or imaginary components of an object
eta

Dedekind's eta function
pari

Wrappers for PARI functions
massage

Massages numbers near the real line to be real