We show that polynomials defined by recurrence relations with periodic coefficients may be represented with the help of Chebyshev polynomials of the second kind.
@article{bwmeta1.element.bwnjournal-article-zmv23i3p319bwm,
author = {Bernhard Beckermann and Jacek Gilewicz and Elie Leopold},
title = {Recurrence relations with periodic coefficients and Chebyshev polynomials},
journal = {Applicationes Mathematicae},
volume = {23},
year = {1995},
pages = {319-323},
zbl = {0849.42014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv23i3p319bwm}
}
Beckermann, Bernhard; Gilewicz, Jacek; Leopold, Elie. Recurrence relations with periodic coefficients and Chebyshev polynomials. Applicationes Mathematicae, Tome 23 (1995) pp. 319-323. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv23i3p319bwm/
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