Jacobi Theta Functions and Related Functions


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Documentation for package ‘jacobi’ version 3.1.1

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acl Lemniscate functions
agm Arithmetic-geometric mean
am Amplitude function
asl Lemniscate functions
cl Lemniscate functions
clh Lemniscate functions
cm Dixon elliptic functions
CostaMesh Costa surface
disk2H Disk to upper half-plane
disk2square Disk to square
Dixon Dixon elliptic functions
EisensteinE Eisenstein series
ellipticAlpha Elliptic alpha function
ellipticInvariants Elliptic invariants
eta Dedekind eta function
halfPeriods Half-periods
jellip Jacobi elliptic functions
jtheta1 Jacobi theta function one
jtheta2 Jacobi theta function two
jtheta3 Jacobi theta function three
jtheta4 Jacobi theta function four
jtheta_ab Jacobi theta function with characteristics
kleinj Klein j-function and its inverse
kleinjinv Klein j-function and its inverse
lambda Lambda modular function
lemniscate Lemniscate functions
ljtheta1 Jacobi theta function one
ljtheta2 Jacobi theta function two
ljtheta3 Jacobi theta function three
ljtheta4 Jacobi theta function four
nome Nome
RR Rogers-Ramanujan continued fraction
RRa Alternating Rogers-Ramanujan continued fraction
sl Lemniscate functions
slh Lemniscate functions
sm Dixon elliptic functions
square2disk Square to disk
square2H Square to upper half-plane
theta.c Neville theta functions
theta.d Neville theta functions
theta.n Neville theta functions
theta.s Neville theta functions
wp Weierstrass elliptic function
wpinv Inverse of Weierstrass elliptic function
wsigma Weierstrass sigma function
wzeta Weierstrass zeta function