Ordinary generating functions of binary products of third-order recurrence relations and 2-orthogonal polynomials

Authors

  • Hind Merzouk Mohamed Seddik Ben Yahia University
  • Ali Boussayoud Mohamed Seddik Ben Yahia University
  • Abdelhamid Abderrezzak University of Paris 7LITP

DOI:

https://doi.org/10.1515/ms-2022-0002

Keywords:

Symmetric functions, generating functions, Tribonacci polynomials, Narayana numbers

Abstract

In this  paper, we introduce the new generating functions for the product of some numbers and 2-orthogonal polynomials by making use of the symmetrizing endomrphism operators π_{e₂e₃}π_{e₁e₂} to the series ∑_{n=0}^\infty S_{n}(A₃)e₁ⁿzⁿ.

Author Biographies

Hind Merzouk, Mohamed Seddik Ben Yahia University

LMAM Laboratory and Department of Mathematics
Mohamed Seddik Ben Yahia University
Jijel
ALGERIA

Ali Boussayoud, Mohamed Seddik Ben Yahia University

LMAM Laboratory and Department of Mathematics
Mohamed Seddik Ben Yahia University
Jijel
ALGERIA

Abdelhamid Abderrezzak, University of Paris 7LITP

University of Paris 7LITP
Place Jussieu Paris cedex 05y
FRANCE

Published

2022-02-16

Issue

Section

Articles - Other topics