A suite of elliptic and related functions including Weierstrass and Jacobi forms. Also includes various tools for manipulating and visualizing complex functions.

Author | Robin K. S. Hankin |

Date of publication | 2016-05-26 09:21:13 |

Maintainer | Robin K. S. Hankin <hankin.robin@gmail.com> |

License | GPL-2 |

Version | 1.3-7 |

**amn:** matrix a on page 637

**as.primitive:** Converts basic periods to a primitive pair

**ck:** Coefficients of Laurent expansion of Weierstrass P function

**congruence:** Solves mx+by=1 for x and y

**coqueraux:** Fast, conceptually simple, iterative scheme for Weierstrass P...

**divisor:** Number theoretic functions

**e16.28.1:** Numerical verification of equations 16.28.1 to 16.28.5

**e18.10.9:** Numerical checks of equations 18.10.9-11, page 650

**e1e2e3:** Calculate e1, e2, e3 from the invariants

**elliptic-package:** Elliptic and modular functions

**equianharmonic:** Special cases of the Weierstrass elliptic function

**eta:** Dedekind's eta function

**farey:** Farey sequences

**fpp:** Fundamental period parallelogram

**g.fun:** Calculates the invariants g2 and g3

**half.periods:** Calculates half periods in terms of e

**J:** Various modular functions

**K.fun:** quarter period K

**latplot:** Plots a lattice of periods on the complex plane

**lattice:** Lattice of complex numbers

**limit:** Limit the magnitude of elements of a vector

**massage:** Massages numbers near the real line to be real

**misc:** Manipulate real or imaginary components of an object

**mob:** Moebius transformations

**myintegrate:** Complex integration

**near.match:** Are two vectors close to one another?

**newton_raphson:** Newton Raphson iteration to find roots of equations

**nome:** Nome in terms of m or k

**p1.tau:** Does the right thing when calling g2.fun() and g3.fun()

**parameters:** Parameters for Weierstrass's P function

**pari:** Wrappers for PARI functions

**P.laurent:** Laurent series for elliptic and related functions

**sn:** Jacobi form of the elliptic functions

**sqrti:** Generalized square root

**theta:** Jacobi theta functions 1-4

**theta1dash:** Derivatives of theta functions

**theta1.dash.zero:** Derivative of theta1

**theta.neville:** Neville's form for the theta functions

**unimodular:** Unimodular matrices

**view:** Visualization of complex functions

**WeierstrassP:** Weierstrass P and related functions

elliptic

elliptic/inst

elliptic/inst/CITATION

elliptic/inst/doc

elliptic/inst/doc/residuetheorem.R

elliptic/inst/doc/ellipticpaper.R

elliptic/inst/doc/ellipticpaper.Rnw

elliptic/inst/doc/residuetheorem.Rnw

elliptic/inst/doc/residuetheorem.pdf

elliptic/inst/doc/ellipticpaper.pdf

elliptic/tests

elliptic/tests/aaa.R

elliptic/NAMESPACE

elliptic/demo

elliptic/demo/00Index

elliptic/demo/elliptic.R

elliptic/R

elliptic/R/elliptic.R
elliptic/vignettes

elliptic/vignettes/semicircular_path.svg

elliptic/vignettes/elliptic.bib

elliptic/vignettes/semicircular_path.pdf

elliptic/vignettes/ellipticpaper.Rnw

elliptic/vignettes/residuetheorem.Rnw

elliptic/MD5

elliptic/build

elliptic/build/vignette.rds

elliptic/DESCRIPTION

elliptic/man

elliptic/man/as.primitive.Rd
elliptic/man/J.Rd
elliptic/man/half.periods.Rd
elliptic/man/theta1dash.Rd
elliptic/man/unimodular.Rd
elliptic/man/e1e2e3.Rd
elliptic/man/coqueraux.Rd
elliptic/man/P.laurent.Rd
elliptic/man/myintegrate.Rd
elliptic/man/p1.tau.Rd
elliptic/man/lattice.Rd
elliptic/man/mob.Rd
elliptic/man/ck.Rd
elliptic/man/theta.Rd
elliptic/man/divisor.Rd
elliptic/man/K.fun.Rd
elliptic/man/farey.Rd
elliptic/man/pari.Rd
elliptic/man/parameters.Rd
elliptic/man/limit.Rd
elliptic/man/equianharmonic.Rd
elliptic/man/sn.Rd
elliptic/man/e16.28.1.Rd
elliptic/man/newton_raphson.Rd
elliptic/man/e18.10.9.Rd
elliptic/man/amn.Rd
elliptic/man/elliptic-package.Rd
elliptic/man/near.match.Rd
elliptic/man/massage.Rd
elliptic/man/WeierstrassP.Rd
elliptic/man/eta.Rd
elliptic/man/theta1.dash.zero.Rd
elliptic/man/latplot.Rd
elliptic/man/congruence.Rd
elliptic/man/nome.Rd
elliptic/man/misc.Rd
elliptic/man/g.fun.Rd
elliptic/man/sqrti.Rd
elliptic/man/fpp.Rd
elliptic/man/theta.neville.Rd
elliptic/man/view.Rd
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