On the Connection Coefficients of the Chebyshev-Boubaker Polynomials

Author:

Barry Paul1ORCID

Affiliation:

1. School of Science, Waterford Institute of Technology, Waterford, Ireland

Abstract

The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials. We study the connection coefficients of this class of orthogonal polynomials, indicating how Riordan array techniques can lead to closed-form expressions for these connection coefficients as well as recurrence relations that define them.

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Riordan arrays and related polynomial sequences;Linear Algebra and its Applications;2019-11

2. On the restricted Chebyshev–Boubaker polynomials;Integral Transforms and Special Functions;2017-01-12

3. Single crystalline graphene synthesized by thermal annealing of humic acid over copper foils;Physica E: Low-dimensional Systems and Nanostructures;2014-02

4. A Fast Algorithm for Computing Binomial Coefficients Modulo Powers of Two;The Scientific World Journal;2013

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