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

Hind Merzouk; Ali Boussayoud; Abdelhamid Abderrezzak

doi:10.1515/ms-2022-0002

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