elliptic: Elliptic Functions

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

AuthorRobin K. S. Hankin
Date of publication2016-05-26 09:21:13
MaintainerRobin K. S. Hankin <hankin.robin@gmail.com>
LicenseGPL-2
Version1.3-7

View on CRAN

Man pages

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

Functions

18.5.7 Man page
18.5.8 Man page
amn Man page
as.primitive Man page
cc Man page
cd Man page
ck Man page
cn Man page
congruence Man page
coqueraux Man page
cs Man page
dc Man page
dd Man page
divisor Man page
dn Man page
ds Man page
e16.1.1 Man page
e16.27.1 Man page
e16.27.2 Man page
e16.27.3 Man page
e16.27.4 Man page
e16.28.1 Man page
e16.28.2 Man page
e16.28.3 Man page
e16.28.4 Man page
e16.28.5 Man page
e16.28.6 Man page
e16.31.1 Man page
e16.31.2 Man page
e16.31.3 Man page
e16.31.4 Man page
e16.36.3 Man page
e16.36.6 Man page
e16.36.6a Man page
e16.36.6b Man page
e16.36.7 Man page
e16.36.7a Man page
e16.36.7b Man page
e16.37.1 Man page
e16.37.2 Man page
e16.37.3 Man page
e16.37.4 Man page
e16.38.1 Man page
e16.38.2 Man page
e16.38.3 Man page
e16.38.4 Man page
e18.10.1 Man page
e18.10.10 Man page
e18.10.10a Man page
e18.10.10b Man page
e18.10.11 Man page
e18.10.11a Man page
e18.10.11b Man page
e18.10.12 Man page
e18.10.12a Man page
e18.10.12b Man page
e18.10.2 Man page
e18.10.3 Man page
e18.10.4 Man page
e18.10.5 Man page
e18.10.6 Man page
e18.10.7 Man page
e18.10.9 Man page
e18.10.9a Man page
e18.10.9b Man page
e18.1.1 Man page
e18.3.1 Man page
e18.3.3 Man page
e18.3.37 Man page
e18.3.38 Man page
e18.3.39 Man page
e18.3.5 Man page
e18.3.7 Man page
e18.3.8 Man page
e18.5.1 Man page
e18.5.16 Man page
e18.5.2 Man page
e18.5.3 Man page
e18.5.4 Man page
e18.5.5 Man page
e18.5.6 Man page
e18.7.4 Man page
e18.7.5 Man page
e18.7.7 Man page
e18f.5.3 Man page
e1e2e3 Man page
eee.cardano Man page
elliptic Man page
elliptic-package Man page
equianharmonic Man page
eta Man page
eta.series Man page
factorize Man page
farey Man page
fpp Man page
g2.fun Man page
g2.fun.direct Man page
g2.fun.divisor Man page
g2.fun.fixed Man page
g2.fun.lambert Man page
g2.fun.vectorized Man page
g3.fun Man page
g3.fun.direct Man page
g3.fun.divisor Man page
g3.fun.fixed Man page
g3.fun.lambert Man page
g3.fun.vectorized Man page
g.fun Man page
gp Man page
Gp Man page
GP Man page
H Man page
H1 Man page
half.periods Man page
Im<- Man page
integrate.contour Man page
integrate.segments Man page
is.primitive Man page
J Man page
K.fun Man page
lambda Man page
latplot Man page
lattice Man page
lemniscatic Man page
limit Man page
liouville Man page
massage Man page
mn Man page
mob Man page
\%mob\% Man page
mobius Man page
myintegrate Man page
nc Man page
nd Man page
near.match Man page
newton_raphson Man page
newton_Raphson Man page
Newton_raphson Man page
Newton_Raphson Man page
nn Man page
nome Man page
nome.k Man page
ns Man page
P Man page
p1.tau Man page
parameters Man page
pari Man page
PARI Man page
Pdash Man page
Pdash.laurent Man page
P.laurent Man page
P.pari Man page
primes Man page
pseudolemniscatic Man page
Re<- Man page
residue Man page
sc Man page
sd Man page
sigma Man page
sigmadash.laurent Man page
sigma.laurent Man page
sn Man page
sqrti Man page
ss Man page
theta Man page
Theta Man page
theta.00 Man page
theta.01 Man page
theta1 Man page
Theta1 Man page
theta.10 Man page
theta.11 Man page
theta1dash Man page
theta1dashdash Man page
theta1dashdashdash Man page
theta1.dash.zero Man page
theta1.dash.zero.q Man page
theta2 Man page
theta3 Man page
theta4 Man page
theta.c Man page
theta.d Man page
theta.n Man page
theta.neville Man page
theta.s Man page
totient Man page
unimodular Man page
unimodularity Man page
view Man page
WeierstrassP Man page
zeta Man page
zeta.laurent Man page

Files

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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All documentation is copyright its authors; we didn't write any of that.