{
  "_id": "6ab99c7b99f7aa8c6aa3af64",
  "Title": "Computations and Approximations for Bessel Functions",
  "Package": "Bessel",
  "Version": "0.7-1",
  "VersionNote": "Last CRAN: 0.7-0, 2026-01-10; 0.6-1, 2024-07-29; and\n0.6-0, 2019-05-02",
  "Date": "2026-09-28",
  "Description": "Computations for Bessel function for complex, real and\npartly 'mpfr' (arbitrary precision) numbers; notably\ninterfacing TOMS 644; approximations for large arguments,\nexperiments, etc.",
  "Authors@R": "person(\"Martin\", \"Maechler\", role = c(\"aut\", \"cre\"),\nemail = \"maechler@stat.math.ethz.ch\", comment = c(ORCID = \"0000-0002-8685-9910\"))",
  "Maintainer": "Martin Maechler <maechler@stat.math.ethz.ch>",
  "SuggestsNote": "'gsl' may be used in code; 'sfsmisc' is for examples &\nvignettes",
  "License": "GPL (>= 2)",
  "Encoding": "UTF-8",
  "NeedsCompilation": "yes",
  "URL": "https://specfun.r-forge.r-project.org/",
  "Config/pak/sysreqs": "libgmp3-dev",
  "Repository": "https://r-forge.r-universe.dev",
  "Date/Publication": "2026-09-27 07:18:26 UTC",
  "RemoteUrl": "https://github.com/r-forge/specfun",
  "RemoteRef": "HEAD",
  "RemoteSha": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
  "RemoteSubdir": "pkg/Bessel",
  "Packaged": {
    "Date": "2026-09-27 22:33:56 UTC",
    "User": "root"
  },
  "Author": "Martin Maechler [aut, cre] (ORCID:\n<https://orcid.org/0000-0002-8685-9910>)",
  "_user": "r-forge",
  "_type": "src",
  "_file": "Bessel_0.7-1.tar.gz",
  "_fileid": "https://r2.ropensci.org/6f9006de012bf91a147afbd98159402cb0614f72551e9d0e0840c7c792a793be",
  "_filesize": 661675,
  "_sha256": "6f9006de012bf91a147afbd98159402cb0614f72551e9d0e0840c7c792a793be",
  "_expires": "2027-01-05T22:45:13.000Z",
  "_created": "2026-09-27T22:33:56.000Z",
  "_published": "2026-09-27T22:45:15.367Z",
  "_jobs": [
    {
      "job": 108723022799,
      "time": 149,
      "config": "linux-devel-arm64",
      "r": "4.7.0",
      "check": "OK",
      "artifact": "10944510307"
    },
    {
      "job": 108723022787,
      "time": 142,
      "config": "linux-devel-x86_64",
      "r": "4.7.0",
      "check": "OK",
      "artifact": "10944485389"
    },
    {
      "job": 108723022839,
      "time": 115,
      "config": "linux-release-arm64",
      "r": "4.6.1",
      "check": "OK",
      "artifact": "10944390875"
    },
    {
      "job": 108723022812,
      "time": 138,
      "config": "linux-release-x86_64",
      "r": "4.6.1",
      "check": "OK",
      "artifact": "10944331146"
    },
    {
      "job": 108723022775,
      "time": 134,
      "config": "macos-oldrel-arm64",
      "r": "4.5.3",
      "check": "OK",
      "artifact": "10943826898"
    },
    {
      "job": 108723022810,
      "time": 194,
      "config": "macos-oldrel-x86_64",
      "r": "4.5.3",
      "check": "OK",
      "artifact": "10944625278"
    },
    {
      "job": 108723022816,
      "time": 154,
      "config": "macos-release-arm64",
      "r": "4.6.1",
      "check": "OK",
      "artifact": "10944575658"
    },
    {
      "job": 108723022832,
      "time": 174,
      "config": "macos-release-x86_64",
      "r": "4.6.1",
      "check": "OK",
      "artifact": "10943771950"
    },
    {
      "job": 108722471048,
      "time": 194,
      "config": "source",
      "r": "4.6.1",
      "check": "OK",
      "artifact": "10943429302"
    },
    {
      "job": 108723022747,
      "time": 103,
      "config": "wasm-release",
      "r": "4.6.0",
      "check": "OK",
      "artifact": "10943911441"
    },
    {
      "job": 108723023016,
      "time": 252,
      "config": "windows-devel-arm64",
      "r": "4.7.0",
      "check": "OK",
      "artifact": "10943971429"
    },
    {
      "job": 108723022930,
      "time": 131,
      "config": "windows-devel-x86_64",
      "r": "4.7.0",
      "check": "OK",
      "artifact": "10943453998"
    },
    {
      "job": 108723022875,
      "time": 92,
      "config": "windows-oldrel-x86_64",
      "r": "4.5.3",
      "check": "OK",
      "artifact": "10944251262"
    },
    {
      "job": 108723022895,
      "time": 203,
      "config": "windows-release-arm64",
      "r": "4.6.1",
      "check": "WARNING",
      "artifact": "10943852660"
    },
    {
      "job": 108723022888,
      "time": 97,
      "config": "windows-release-x86_64",
      "r": "4.6.1",
      "check": "OK",
      "artifact": "10943567038"
    }
  ],
  "_host": "GitHub-Actions",
  "_buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297",
  "_status": "success",
  "_upstream": "https://github.com/r-forge/specfun",
  "_commit": {
    "id": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
    "author": "mmaechler (Martin Maechler) <maechler@r-project.org>",
    "committer": "mmaechler (Martin Maechler) <maechler@r-project.org>",
    "message": "more extensive tests (Airy) and examples; cosmetics - ready to rel. 0.7-1\n\ngit-svn-id: svn://svn.r-forge.r-project.org/svnroot/specfun@367 edb9625f-4e0d-4859-8d74-9fd3b1da38cb\n",
    "time": 1790493506
  },
  "_maintainer": {
    "name": "Martin Maechler",
    "email": "maechler@stat.math.ethz.ch",
    "login": "mmaechler",
    "mastodon": "@MMaechler@fosstodon.org",
    "linkedin": "in/martinmaechlereth",
    "orcid": "0000-0002-8685-9910",
    "twitter": "@MMaechler",
    "description": "Professor emeritus @ SfS, ETH Zurich.  \nR (#rstats) Core group member\nFollower of the Alpha and Omega",
    "uuid": 995722
  },
  "_distro": "resolute",
  "_registered": true,
  "_dependencies": [
    {
      "package": "R",
      "version": ">= 3.3.0",
      "role": "Depends"
    },
    {
      "package": "methods",
      "role": "Imports"
    },
    {
      "package": "Rmpfr",
      "role": "Imports"
    },
    {
      "package": "gsl",
      "role": "Suggests"
    },
    {
      "package": "sfsmisc",
      "version": ">= 1.1-23",
      "role": "Suggests"
    }
  ],
  "_owner": "r-forge",
  "_selfowned": true,
  "_usedby": 18,
  "_updates": [
    {
      "week": "2025-41",
      "n": 5
    },
    {
      "week": "2025-42",
      "n": 2
    },
    {
      "week": "2026-01",
      "n": 1
    },
    {
      "week": "2026-02",
      "n": 3
    },
    {
      "week": "2026-34",
      "n": 2
    },
    {
      "week": "2026-36",
      "n": 3
    },
    {
      "week": "2026-39",
      "n": 5
    }
  ],
  "_tags": [],
  "_stars": 0,
  "_contributors": [
    {
      "user": "mmaechler",
      "count": 366,
      "uuid": 995722
    },
    {
      "user": "theussl",
      "count": 1,
      "uuid": 22165873
    }
  ],
  "_userbio": {
    "uuid": 75573726,
    "type": "organization",
    "name": " R-Forge",
    "followers": 27,
    "description": "git-svn mirrors from R-Forge"
  },
  "_downloads": {
    "count": 4794,
    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/Bessel"
  },
  "_devurl": "https://github.com/r-forge/specfun",
  "_searchresults": 214,
  "_rbuild": "4.6.1",
  "_assets": [
    "extra/Bessel.html",
    "extra/citation.cff",
    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
    "extra/manual.pdf",
    "extra/NEWS.html",
    "extra/NEWS.txt"
  ],
  "_homeurl": "https://github.com/r-forge/specfun",
  "_realowner": "r-forge",
  "_cranurl": true,
  "_releases": [
    {
      "version": "0.5-3",
      "date": "2011-01-15"
    },
    {
      "version": "0.5-4",
      "date": "2012-03-21"
    },
    {
      "version": "0.5-5",
      "date": "2013-12-10"
    },
    {
      "version": "0.6-0",
      "date": "2019-05-02"
    },
    {
      "version": "0.6-1",
      "date": "2024-07-29"
    },
    {
      "version": "0.7-0",
      "date": "2026-01-11"
    }
  ],
  "_exports": [
    "AiryA",
    "AiryB",
    "BesselH",
    "BesselI",
    "besselI.ftrms",
    "besselI.nuAsym",
    "besselIasym",
    "besselIs",
    "BesselJ",
    "besselJs",
    "BesselK",
    "besselK.nuAsym",
    "besselKasym",
    "BesselY",
    "bessJsmlNu",
    "bI",
    "combinatorial",
    "GDENOM",
    "GNUM",
    "incompleteBesselK",
    "incompleteBesselKR",
    "SSFcoef"
  ],
  "_help": [
    {
      "page": "Airy",
      "title": "Airy Functions (and Their First Derivative)",
      "topics": [
        "Airy",
        "AiryA",
        "AiryB"
      ]
    },
    {
      "page": "Bessel",
      "title": "Bessel Functions of Complex Arguments I(), J(), K(), and Y()",
      "topics": [
        "BesselI",
        "BesselJ",
        "BesselK",
        "BesselY"
      ]
    },
    {
      "page": "Hankel",
      "title": "Hankel (H-Bessel) Function (of Complex Argument)",
      "topics": [
        "BesselH",
        "Hankel"
      ]
    },
    {
      "page": "besselI.nuAsym",
      "title": "Asymptotic Expansion of Bessel I(x,nu) and K(x,nu) for Large nu (and x)",
      "topics": [
        "besselI.nuAsym",
        "besselK.nuAsym"
      ]
    },
    {
      "page": "besselIasym",
      "title": "Asymptotic Expansion of Bessel I(x,nu) and K(x,nu) For Large x",
      "topics": [
        "besselI.ftrms",
        "besselIasym",
        "besselKasym"
      ]
    },
    {
      "page": "besselIs",
      "title": "Bessel I() function Simple Series Representation",
      "topics": [
        "besselIs",
        "bI"
      ]
    },
    {
      "page": "besselJs",
      "title": "Bessel J() function Simple Series Representation",
      "topics": [
        "besselJs"
      ]
    },
    {
      "page": "bessJsmlNu",
      "title": "Bessel J_nu(x) for Very Small Order nu",
      "topics": [
        "bessJsmlNu"
      ]
    },
    {
      "page": "incompleteBesselK",
      "title": "The Incomplete Bessel K Function",
      "topics": [
        "combinatorial",
        "GDENOM",
        "GNUM",
        "incompleteBesselK",
        "incompleteBesselKR",
        "SSFcoef"
      ]
    }
  ],
  "_rundeps": [
    "gmp",
    "Rmpfr"
  ],
  "_vignettes": [
    {
      "source": "other-Bessels.Rnw",
      "filename": "other-Bessels.pdf",
      "title": "Bessel Functions in other CRAN Packages",
      "engine": "utils::Sweave",
      "headings": [
        "Introduction",
        "Package `gsl'",
        "Session Info"
      ],
      "created": "2013-12-10 08:52:03",
      "modified": "2026-01-06 14:51:53",
      "commits": 8
    }
  ],
  "_score": 7.588603602884051,
  "_indexed": true,
  "_nocasepkg": "bessel",
  "_universes": [
    "r-forge",
    "mmaechler"
  ],
  "_previous": "0.7-0",
  "_binaries": [
    {
      "r": "4.7.0",
      "os": "linux",
      "version": "0.7-1",
      "date": "2026-09-27T22:36:24.000Z",
      "distro": "resolute",
      "arch": "aarch64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/acfd15f71d3c8c98884d0c2362733fa7d75eab44e0ff45beee5aa9668a5c79a3",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.7.0",
      "os": "linux",
      "version": "0.7-1",
      "date": "2026-09-27T22:36:10.000Z",
      "distro": "resolute",
      "arch": "x86_64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/3933d5e18e334ef95e3fa031841c6939818a34c17e7be12b52d286e213ba6599",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.6.1",
      "os": "linux",
      "version": "0.7-1",
      "date": "2026-09-27T22:35:57.000Z",
      "distro": "resolute",
      "arch": "aarch64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/7033bff0bf5aec60e05490e0783e6a1330248239ee8e20e2ec30d514b27e206c",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.6.1",
      "os": "linux",
      "version": "0.7-1",
      "date": "2026-09-27T22:36:13.000Z",
      "distro": "resolute",
      "arch": "x86_64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/708b677cef162e4f604365011eda3b42cbb26f2f40e6b0d0fd87717ee34dbf24",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.5.3",
      "os": "mac",
      "version": "0.7-1",
      "date": "2026-09-27T22:39:55.000Z",
      "arch": "aarch64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/a7b58cde36bccea9c567e7641ba19751a64980cfd3a3260120b0ccff87d86bfd",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.5.3",
      "os": "mac",
      "version": "0.7-1",
      "date": "2026-09-27T22:41:33.000Z",
      "arch": "x86_64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/983987afbd13e750064c8bbd34a375d1dcb048c343af60f3ae2efbf21f3c3e8e",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.6.1",
      "os": "mac",
      "version": "0.7-1",
      "date": "2026-09-27T22:43:40.000Z",
      "arch": "aarch64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/04b1f592cd75ccf0ad8c9adfa0ad23a68b263a86a7a340092d487f9513be47d7",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.6.1",
      "os": "mac",
      "version": "0.7-1",
      "date": "2026-09-27T22:41:17.000Z",
      "arch": "x86_64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/8332f27611da578e4e263ba20257e2d2278b45be77c3838f46c8c2a10237c0b2",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.6.0",
      "os": "wasm",
      "version": "0.7-1",
      "date": "2026-09-27T22:36:04.000Z",
      "arch": "emscripten",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/039a84bae5ce20c639f057cb398348bfecafc5ad9217b064cb9b21e770da35c2",
      "status": "success",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.7.0",
      "os": "win",
      "version": "0.7-1",
      "date": "2026-09-27T22:37:50.000Z",
      "arch": "aarch64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/933593a5271ff3f02a3fffbf14917b72aa520501eb2ed6a5cd793ce7f53840ee",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.7.0",
      "os": "win",
      "version": "0.7-1",
      "date": "2026-09-27T22:35:10.000Z",
      "arch": "x86_64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/a16f6298337bd262e7f81c542712be7ec651c31785bfb81d3b7a85a5ee9922e7",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.5.3",
      "os": "win",
      "version": "0.7-1",
      "date": "2026-09-27T22:35:07.000Z",
      "arch": "x86_64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/1158a88a2081c330b61d8c300744bfea7ee24c038ba27f02b9d899afaa85edda",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.6.1",
      "os": "win",
      "version": "0.7-1",
      "date": "2026-09-27T22:37:08.000Z",
      "arch": "aarch64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/4dfa4d29e05d221da53d199fa8b213c7ca42bb2d2465ed5bcf981f3398bc021d",
      "status": "success",
      "check": "WARNING",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    },
    {
      "r": "4.6.1",
      "os": "win",
      "version": "0.7-1",
      "date": "2026-09-27T22:35:11.000Z",
      "arch": "x86_64",
      "commit": "cf09f99ef49b7aaeff1c8432a199ec29dbbd7fab",
      "fileid": "https://r2.ropensci.org/4c79fe46ad28f11087ffdf2ff5451dd00e0e41cfd7aaccd7f1a078339f2ec8b3",
      "status": "success",
      "check": "OK",
      "buildurl": "https://github.com/r-universe/r-forge/actions/runs/36355533297"
    }
  ]
}