Common Points Between Perturbed Chebyshev Polynomials of Second Kind

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Maria Zélia Rocha (Author) FCUP

Journal

Title: Mathematics in Computer Science

Vol. 15 No. 1

Pages: 5-13

ISSN: 1661-8270

Publisher: Springer Nature

Indexing

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Other information

Authenticus ID: P-00S-51Z

DOI: 10.1007/s11786-020-00469-x

Abstract (EN): We consider some perturbation of the Chebyshev polynomials of second kind obtained by modifying one of its recurrence coefficients at an arbitrary order. The goal of this work is to point out that perturbed Chebyshev polynomials of fixed degree and different values of parameters of perturbation have some common points that are zeros of two Chebyshev polynomials of second kind of lower degrees. These common points can be simple or double. We identify the cases in which they are common zeros.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9