Recurrence relations with periodic coefficients and Chebyshev polynomials
Applicationes Mathematicae, Tome 23 (1996) no. 3, pp. 319-323
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
@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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