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
fDate :
May 30 2011-June 3 2011
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;
Conference_Titel :
Days on Diffraction (DD), 2011
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-1577-8
DOI :
10.1109/DD.2011.6094363
