• DocumentCode
    3710511
  • Title

    On numerical evaluation of the Heun functions

  • Author

    Oleg V. Motygin

  • Author_Institution
    Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol´shoy pr., 61, 199178 St. Petersburg, Russia
  • fYear
    2015
  • fDate
    5/1/2015 12:00:00 AM
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    In the paper we deal with the Heun functions - solutions of the Heun equation. Despite the increasing interest to the equation and numerous applications of the functions in a wide variety of physical problems, it is only Maple amidst known software packages which is able to evaluate the functions numerically. But the Maple routine is known to be imperfect. The purpose of the work is to develop alternative algorithms for numerical evaluation of the Heun functions. A procedure based on power series expansions and analytic continuation is suggested.
  • Keywords
    "Diffraction","Approximation algorithms","Barium","Physics","Convergence","Approximation error"
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2015
  • Print_ISBN
    978-1-4673-8635-7
  • Type

    conf

  • DOI
    10.1109/DD.2015.7354864
  • Filename
    7354864
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3710511