• DocumentCode
    2539652
  • Title

    Differential equations for polynomials defined by recurrence relations with periodic coefficients

  • Author

    Borzov, V.V. ; Damaskinsky, E.V.

  • Author_Institution
    Dept. of Math., St. Petersburg Univ. of Telecommun., St. Petersburg, Russia
  • fYear
    2011
  • fDate
    May 30 2011-June 3 2011
  • Firstpage
    45
  • Lastpage
    50
  • Abstract
    We obtain differential equations for polynomials related to a periodic Jacobi matrix, using the known representation for such polynomials by classical Chebyshev polynomials. As an example we discuss the elementary N-symmetrical Chebyshev polynomials, which arose in studying of the “compound model” for generalized oscillator.
  • Keywords
    Chebyshev approximation; Jacobian matrices; differential equations; oscillators; polynomials; classical Chebyshev polynomials; differential equations; elementary N-symmetrical Chebyshev polynomials; generalized oscillator; periodic Jacobi matrix; periodic coefficients; recurrence relations; Chebyshev approximation; Diffraction; Indexes; Jacobian matrices; Mathematical model; Polynomials;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2011
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4577-1577-8
  • Type

    conf

  • DOI
    10.1109/DD.2011.6094363
  • Filename
    6094363
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2539652