{
  "id": "hep-ph/9409289",
  "version": "v1",
  "published": "1994-09-13T07:35:29.000Z",
  "updated": "1994-09-13T07:35:29.000Z",
  "title": "FORTRAN program for a numerical solution of the nonsinglet Altarelli-Parisi equation",
  "authors": [
    "R. Kobayashi",
    "M. Konuma",
    "S. Kumano"
  ],
  "comment": "LATEX 21 pages (Figs. 1 and 2 are available upon request), SAGA-HE-63-94",
  "journal": "Comput.Phys.Commun. 86 (1995) 264-278",
  "doi": "10.1016/0010-4655(94)00159-Y",
  "categories": [
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "We investigate a numerical solution of the flavor-nonsinglet Altarelli-Parisi equation with next-to-leading-order $\\alpha_s$ corrections by using Laguerre polynomials. Expanding a structure function (or a quark distribution) and a splitting function by the Laguerre polynomials, we reduce an integrodifferential equation to a summation of finite number of Laguerre coefficients. We provide a FORTRAN program for Q$^2$ evolution of nonsinglet structure functions (F$_1$, F$_2$, and F$_3$) and nonsinglet quark distributions. This is a very effective program with typical running time of a few seconds on SUN-IPX or on VAX-4000/500. Accurate evolution results are obtained by taking approximately twenty Laguerre polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-09-13T07:35:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fortran program",
      "numerical solution",
      "laguerre polynomials",
      "flavor-nonsinglet altarelli-parisi equation",
      "nonsinglet structure functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Comput. Phys. Commun."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 376835
    }
  }
}