On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Maria Zélia Rocha (Author) FCUP

Journal

Title: Journal of Difference Equations and Applications

Vol. 25

Pages: 97-118

ISSN: 1023-6198

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Other information

Authenticus ID: P-00Q-3A1

DOI: 10.1080/10236198.2018.1561880

Abstract (EN): Orthogonal polynomials satisfy a recurrence relation of order two defined by two sequences of coefficients. If we modify one of these recurrence coefficients at a certain order, we obtain the so-called perturbed orthogonal sequence. In this work, we analyse perturbed Chebyshev polynomials of second kind and we deal with the problem of finding the connection coefficients that allow us to write the perturbed sequence in terms of the original one and in terms of the canonical basis. From the connection coefficients obtained, we derive some results about zeros at the origin. The analysis is valid for arbitrary order of perturbation.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22