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

Vol. 72 No. 1 (2022): Mathematica Slovaca

Section

Articles - Other topics