Package: jacobi 3.1.1

Stéphane Laurent

jacobi: Jacobi Theta Functions and Related Functions

Evaluation of the Jacobi theta functions and related functions: Weierstrass elliptic function, Weierstrass sigma function, Weierstrass zeta function, Klein j-function, Dedekind eta function, lambda modular function, Jacobi elliptic functions, Neville theta functions, Eisenstein series, lemniscate elliptic functions, elliptic alpha function, Rogers-Ramanujan continued fractions, and Dixon elliptic functions. Complex values of the variable are supported.

Authors:Stéphane Laurent [aut, cre], Mikael Fremling [aut]

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jacobi.pdf |jacobi.html✨
jacobi/json (API)
NEWS

# Install 'jacobi' in R:

install.packages('jacobi', repos = c('https://stla.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/stla/jacobi/issues

Uses libs:

c++– GNU Standard C++ Library v3

On CRAN:

elliptic-functions theta-functions

4.49 score 2 stars 103 scripts 241 downloads 44 exports 34 dependencies

Last updated 1 years agofrom:a5c2db5fe1. Checks:OK: 9. Indexed: yes.

Target	Result	Date
Doc / Vignettes	OK	Nov 02 2024
R-4.5-win-x86_64	OK	Nov 02 2024
R-4.5-linux-x86_64	OK	Nov 02 2024
R-4.4-win-x86_64	OK	Nov 02 2024
R-4.4-mac-x86_64	OK	Nov 02 2024
R-4.4-mac-aarch64	OK	Nov 02 2024
R-4.3-win-x86_64	OK	Nov 02 2024
R-4.3-mac-x86_64	OK	Nov 02 2024
R-4.3-mac-aarch64	OK	Nov 02 2024

Exports:acl agm am asl cl clh cm CostaMesh disk2H disk2square EisensteinE ellipticAlpha ellipticInvariants eta halfPeriods jellip jtheta_ab jtheta1 jtheta2 jtheta3 jtheta4 kleinj kleinjinv lambda ljtheta1 ljtheta2 ljtheta3 ljtheta4 nome RR RRa sl slh sm square2disk square2H theta.c theta.d theta.n theta.s wp wpinv wsigma wzeta

Dependencies:base64enc bslib cachem Carlson cli digest evaluate fastmap fontawesome fs glue highr htmltools htmlwidgets jquerylib jsonlite knitr lifecycle magrittr memoise mime R6 rappdirs Rcpp RcppArmadillo RcppEigen rgl rlang rmarkdown Rvcg sass tinytex xfun yaml

Citation

Development and contributors

Readme and manuals

Help Manual

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