Package index • elliptic

All functions
`J()` `lambda()`	Various modular functions
`K.fun()`	quarter period K
`P.laurent()` `Pdash.laurent()` `sigma.laurent()` `sigmadash.laurent()` `zeta.laurent()`	Laurent series for elliptic and related functions
`P()` `Pdash()` `sigma()` `zeta()`	Weierstrass P and related functions
`amn()`	matrix a on page 637
`as.primitive()` `is.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 functions
`divisor()` `primes()` `factorize()` `mobius()` `totient()` `liouville()`	Number theoretic functions
`e16.28.1()` `e16.28.2()` `e16.28.3()` `e16.28.4()` `e16.28.5()`	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()` `eee.cardano()`	Calculate e1, e2, e3 from the invariants
`elliptic-package` `elliptic`	Weierstrass and Jacobi Elliptic Functions
`equianharmonic()` `lemniscatic()` `pseudolemniscatic()`	Special cases of the Weierstrass elliptic function
`eta()` `eta.series()`	Dedekind's eta function
`farey()`	Farey sequences
`fpp()` `mn()`	Fundamental period parallelogram
`g.fun()` `g2.fun()` `g3.fun()` `g2.fun.lambert()` `g3.fun.lambert()` `g2.fun.direct()` `g3.fun.direct()` `g2.fun.fixed()` `g3.fun.fixed()` `g2.fun.vectorized()` `g3.fun.vectorized()`	Calculates the invariants g2 and g3
`half.periods()`	Calculates half periods in terms of e
`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
`Im<-`() `Re<-`()	Manipulate real or imaginary components of an object
`mob()` `%mob%`	Moebius transformations
`myintegrate()` `integrate.contour()` `integrate.segments()` `residue()`	Complex integration
`near.match()`	Are two vectors close to one another?
`newton_raphson()`	Newton Raphson iteration to find roots of equations
`nome()` `nome.k()`	Nome in terms of m or k
`p1.tau()`	Does the Right Thing (tm) when calling g2.fun() and g3.fun()
`parameters()`	Parameters for Weierstrass's P function
`P.pari()`	Wrappers for PARI functions
`ss()` `sc()` `sn()` `sd()` `cs()` `cc()` `cn()` `cd()` `ns()` `nc()` `nn()` `nd()` `ds()` `dc()` `dn()` `dd()`	Jacobi form of the elliptic functions
`sqrti()`	Generalized square root
`theta1()` `theta2()` `theta3()` `theta4()` `theta.00()` `theta.01()` `theta.10()` `theta.11()` `Theta()` `Theta1()` `H()` `H1()`	Jacobi theta functions 1-4
`theta.s()` `theta.c()` `theta.d()` `theta.n()`	Neville's form for the theta functions
`theta1.dash.zero()` `theta1.dash.zero.q()`	Derivative of theta1
`theta1dash()` `theta1dashdash()` `theta1dashdashdash()`	Derivatives of theta functions
`unimodular()` `unimodularity()`	Unimodular matrices
`view()`	Visualization of complex functions

Reference

All functions