Bessel: Computations and Approximations for Bessel Functions

Package: Bessel 0.7-0

Martin Maechler

Bessel: Computations and Approximations for Bessel Functions

Computations for Bessel function for complex, real and partly 'mpfr' (arbitrary precision) numbers; notably interfacing TOMS 644; approximations for large arguments, experiments, etc.

Authors:Martin Maechler [aut, cre]

Bessel_0.7-0.tar.gz
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Bessel_0.7-0.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
Bessel/json (API)

# Install 'Bessel' in R:

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

Bug tracker:https://r-forge.r-project.org/projects/specfun

On CRAN:

7.69 score 17 packages 215 scripts 7.5k downloads 16 exports 2 dependencies

Last updated from:64c907fbb8. Checks:13 OK. Indexed: yes.

Target	Result	Time
linux-devel-arm64	OK	143
linux-devel-x86_64	OK	134
source / vignettes	OK	192
linux-release-arm64	OK	173
linux-release-x86_64	OK	185
macos-release-arm64	OK	93
macos-release-x86_64	OK	237
macos-oldrel-arm64	OK	78
macos-oldrel-x86_64	OK	250
windows-devel	OK	163
windows-release	OK	113
windows-oldrel	OK	81
wasm-release	OK	102

Exports:AiryA AiryB BesselH BesselI besselI.ftrms besselI.nuAsym besselIasym besselIs BesselJ besselJs BesselK besselK.nuAsym besselKasym BesselY bessJsmlNu bI

Dependencies:gmp Rmpfr

Bessel Functions in other CRAN Packages

Introduction | Package `gsl' | Session Info

Rendered fromother-Bessels.Rnwusingutils::Sweave

Help page	Topics
Airy Functions (and Their First Derivative)	Airy AiryA AiryB
Bessel Functions of Complex Arguments I(), J(), K(), and Y()	BesselI BesselJ BesselK BesselY
Hankel (H-Bessel) Function (of Complex Argument)	BesselH Hankel
Asymptotic Expansion of Bessel I(x,nu) and K(x,nu) for Large nu (and x)	besselI.nuAsym besselK.nuAsym
Asymptotic Expansion of Bessel I(x,nu) and K(x,nu) For Large x	besselI.ftrms besselIasym besselKasym
Bessel J() function Simple Series Representation	besselJs
Bessel J_nu(x) for Very Small Order nu	bessJsmlNu
Bessel I() function Simple Series Representation	besselIs bI

Help page

Topics

Airy Functions (and Their First Derivative)

Airy AiryA AiryB

Bessel Functions of Complex Arguments I(), J(), K(), and Y()

BesselI BesselJ BesselK BesselY

Hankel (H-Bessel) Function (of Complex Argument)

BesselH Hankel

Asymptotic Expansion of Bessel I(x,nu) and K(x,nu) for Large nu (and x)

besselI.nuAsym besselK.nuAsym

Asymptotic Expansion of Bessel I(x,nu) and K(x,nu) For Large x

besselI.ftrms besselIasym besselKasym