Recurrence relations with periodic coefficients and Chebyshev polynomials
Applicationes Mathematicae, Tome 23 (1996) no. 3, pp. 319-323
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We show that polynomials defined by recurrence relations with periodic coefficients may be represented with the help of Chebyshev polynomials of the second kind.
DOI :
10.4064/am-23-3-319-323
Keywords:
orthogonal polynomials, periodic coefficients of recurrence relation
Affiliations des auteurs :
Bernhard Beckermann 1 ; Jacek Gilewicz 1 ; Elie Leopold 1
@article{10_4064_am_23_3_319_323,
author = {Bernhard Beckermann and Jacek Gilewicz and Elie Leopold},
title = {Recurrence relations with periodic coefficients and {Chebyshev} polynomials},
journal = {Applicationes Mathematicae},
pages = {319--323},
year = {1996},
volume = {23},
number = {3},
doi = {10.4064/am-23-3-319-323},
zbl = {0849.42014},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-23-3-319-323/}
}
TY - JOUR AU - Bernhard Beckermann AU - Jacek Gilewicz AU - Elie Leopold TI - Recurrence relations with periodic coefficients and Chebyshev polynomials JO - Applicationes Mathematicae PY - 1996 SP - 319 EP - 323 VL - 23 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/am-23-3-319-323/ DO - 10.4064/am-23-3-319-323 LA - en ID - 10_4064_am_23_3_319_323 ER -
%0 Journal Article %A Bernhard Beckermann %A Jacek Gilewicz %A Elie Leopold %T Recurrence relations with periodic coefficients and Chebyshev polynomials %J Applicationes Mathematicae %D 1996 %P 319-323 %V 23 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4064/am-23-3-319-323/ %R 10.4064/am-23-3-319-323 %G en %F 10_4064_am_23_3_319_323
Bernhard Beckermann; Jacek Gilewicz; Elie Leopold. Recurrence relations with periodic coefficients and Chebyshev polynomials. Applicationes Mathematicae, Tome 23 (1996) no. 3, pp. 319-323. doi: 10.4064/am-23-3-319-323
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