Learn R Programming

⚠️There's a newer version (1.5-1) of this package.Take me there.

elliptic (version 1.2-9)

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.

Copy Link

Version

Install

install.packages('elliptic')

Monthly Downloads

25,111

Version

1.2-9

License

GPL-2

Maintainer

Robin K S Hankin

Last Published

December 27th, 2011

Functions in elliptic (1.2-9)

Lattice of complex numbers

Special cases of the Weierstrass elliptic function

Calculates half periods in terms of e

Unimodular matrices

Complex integration

Converts basic periods to a primitive pair

Newton Raphson iteration to find roots of equations

Generalized square root

Nome in terms of m or k

Coefficients of Laurent expansion of Weierstrass P function

Laurent series for elliptic and related functions

Jacobi theta functions 1-4

Calculates the invariants g2 and g3

theta1.dash.zero

Derivative of theta1

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

Massages numbers near the real line to be real

Jacobi form of the elliptic functions

elliptic-package

Elliptic and modular functions

Wrappers for PARI functions

Derivatives of theta functions

Limit the magnitude of elements of a vector

Parameters for Weierstrass's P function

matrix a on page 637

Are two vectors close to one another?

Various modular functions

Numerical verification of equations 16.28.1 to 16.28.5

Calculate e1, e2, e3 from the invariants

Neville's form for the theta functions

Plots a lattice of periods on the complex plane

Numerical checks of equations 18.10.9-11, page 650

Manipulate real or imaginary components of an object

Farey sequences

Fundamental period parallelogram

Visualization of complex functions

Number theoretic functions

Solves mx+by=1 for x and y

Weierstrass P and related functions

Moebius transformations

quarter period K

Fast, conceptually simple, iterative scheme for Weierstrass P functions

Dedekind's eta function