d-Oresme Polynomials and Their Matrix Representations

Authors

  • Hayrullah Özimamoğlu Nevşehir Hacı Bektaş Veli University

DOI:

https://doi.org/10.30495/jme.v18i0.3026

Keywords:

Oresme numbers, Oresme polynomials, d-Oresme polynomials, Pascal matrix, Riordan matrix

Abstract

In this paper, we define the concept of d-Oresme polynomials, which is a generalization of the classical Oresme polynomials. We obtain several fundamental properties for these new polynomials including the generating function, the Binet-like formula, combinatorial identities and summation formulas. Then, we introduce the infinite d- Oresme polynomials matrix, which is a Riordan matrix. We present two new factorizations of the infinite Pascal matrix including the d-Oresme polynomials by Riordan method.

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Published

2025-01-02

Issue

Vol. 18

Section

Vol. 18, No. 9, (2024)

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