Fermat-linked relations for the Boubaker polynomial sequences via Riordan matrices analysis

TL;DR

This paper explores the properties of Boubaker polynomials by establishing their connections with Chebyshev and Fermat polynomials through Riordan matrices, providing useful relations for physics applications.

Contribution

It introduces new relations linking Boubaker polynomials with Chebyshev and Fermat polynomials using Riordan matrices analysis.

Findings

Derived relations between Boubaker, Chebyshev, and Fermat polynomials.

Provided expressions useful for physics applications involving Boubaker polynomials.

Enhanced understanding of Boubaker polynomial properties through matrix analysis.

Abstract

The Boubaker polynomials are investigated in this paper. Using Riordan matrices analysis, a sequence of relations outlining the relations with Chebyshev and Fermat polynomials have been obtained. The obtained expressions are a meaningful supply to recent applied physics studies using the Boubaker polynomials expansion scheme (BPES).