elliptic1.5-1 package

Solves mx+by=1 for x and y

Fast, conceptually simple, iterative scheme for Weierstrass P function...

Farey sequences

Fundamental period parallelogram

Calculates the invariants g2 and g3

Jacobi theta functions 1-4

Derivative of theta1

Derivatives of theta functions

Unimodular matrices

Visualization of complex functions

Generalized square root

Neville's form for the theta functions

Moebius transformations

Dedekind's eta function

matrix a on page 637

Converts basic periods to a primitive pair

Coefficients of the Laurent expansion of the Weierstrass P function

Manipulate real or imaginary components of an object

Complex integration

Number theoretic functions

Numerical verification of equations 16.28.1 to 16.28.5

Numerical checks of equations 18.10.9-11, page 650

Calculate e1, e2, e3 from the invariants

tools:::Rd_package_title("elliptic")

Special cases of the Weierstrass elliptic function

Are two vectors close to one another?

Calculates half periods in terms of e

Various modular functions

quarter period K

Plots a lattice of periods on the complex plane

Lattice of complex numbers

Limit the magnitude of elements of a vector

Massages numbers near the real line to be real

Newton Raphson iteration to find roots of equations

Nome in terms of m or k

Laurent series for elliptic and related functions

Does the Right Thing (tm) when calling g2.fun() and g3.fun()

Parameters for Weierstrass's P function

Wrappers for PARI functions

Jacobi form of the elliptic functions

Weierstrass P and related functions