Recurrence relations with periodic coefficients and Chebyshev polynomials
Bernhard Beckermann; Jacek Gilewicz; Elie Leopold
Applicationes Mathematicae (1995)
- Volume: 23, Issue: 3, page 319-323
- ISSN: 1233-7234
Access Full Article
top
Abstract
topHow to cite
topBeckermann, Bernhard, Gilewicz, Jacek, and Leopold, Elie. "Recurrence relations with periodic coefficients and Chebyshev polynomials." Applicationes Mathematicae 23.3 (1995): 319-323. <http://eudml.org/doc/219134>.
@article{Beckermann1995,
abstract = {We show that polynomials defined by recurrence relations with periodic coefficients may be represented with the help of Chebyshev polynomials of the second kind.},
author = {Beckermann, Bernhard, Gilewicz, Jacek, Leopold, Elie},
journal = {Applicationes Mathematicae},
keywords = {orthogonal polynomials; periodic coefficients of recurrence relation; three-term recurrence relation; Chebyshev polynomials},
language = {eng},
number = {3},
pages = {319-323},
title = {Recurrence relations with periodic coefficients and Chebyshev polynomials},
url = {http://eudml.org/doc/219134},
volume = {23},
year = {1995},
}
TY - JOUR
AU - Beckermann, Bernhard
AU - Gilewicz, Jacek
AU - Leopold, Elie
TI - Recurrence relations with periodic coefficients and Chebyshev polynomials
JO - Applicationes Mathematicae
PY - 1995
VL - 23
IS - 3
SP - 319
EP - 323
AB - We show that polynomials defined by recurrence relations with periodic coefficients may be represented with the help of Chebyshev polynomials of the second kind.
LA - eng
KW - orthogonal polynomials; periodic coefficients of recurrence relation; three-term recurrence relation; Chebyshev polynomials
UR - http://eudml.org/doc/219134
ER -
References
top- [1] T. S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, 1978. Zbl0389.33008
- [2] J. S. Geronimo and W. Van Assche, Orthogonal polynomials with asymptotically periodic recurrence coefficients, J. Approx. Theory 46 (1986), 251-283. Zbl0604.42023
- [3] J. S. Geronimo and W. Van Assche, Approximating the weight function for orthogonal polynomials on several intervals, ibid. 65 (1991), 341-371. Zbl0774.42015
- [4] H. S. Wall, Analytic Theory of Continued Fractions, D. Van Nostrand, 1967.
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.