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elliptic (version 1.3-5)

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

1.3-5

License

GPL-2

Maintainer

Robin K S Hankin

Last Published

November 5th, 2014

Functions in elliptic (1.3-5)

Calculates half periods in terms of e

Generalized square root

Nome in terms of m or k

Number theoretic functions

Wrappers for PARI functions

Jacobi form of the elliptic functions

Complex integration

Unimodular matrices

Solves mx+by=1 for x and y

Parameters for Weierstrass's P function

quarter period K

Calculates the invariants g2 and g3

Numerical checks of equations 18.10.9-11, page 650

Farey sequences

matrix a on page 637

Massages numbers near the real line to be real

Neville's form for the theta functions

Are two vectors close to one another?

Calculate e1, e2, e3 from the invariants

Fast, conceptually simple, iterative scheme for Weierstrass P functions

Lattice of complex numbers

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

Numerical verification of equations 16.28.1 to 16.28.5

Converts basic periods to a primitive pair

Coefficients of Laurent expansion of Weierstrass P function

Laurent series for elliptic and related functions

Moebius transformations

Limit the magnitude of elements of a vector

theta1.dash.zero

Derivative of theta1

Newton Raphson iteration to find roots of equations

Various modular functions

Weierstrass P and related functions

Jacobi theta functions 1-4

Plots a lattice of periods on the complex plane

elliptic-package

Elliptic and modular functions

Dedekind's eta function

Visualization of complex functions

Manipulate real or imaginary components of an object

Derivatives of theta functions

Special cases of the Weierstrass elliptic function

Fundamental period parallelogram