Ordinary Generating Functions of Binary Products of Third-Order Recurrence Relations and 2-Orthogonal Polynomials-Reference-Cited by-同舟云学术

Ordinary Generating Functions of Binary Products of Third-Order Recurrence Relations and 2-Orthogonal Polynomials

Published:2022-02-01 Issue:1 Volume:72 Page:11-34
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Merzouk Hind¹,Boussayoud Ali¹,Abderrezzak Abdelhamid²

Affiliation:

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

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

Abstract

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 endomorphism operators π e 2 e 3 π e 1 e 2 to the series

∑ n = 0 + ∞ S n ( A 3 ) e 1 n z n .

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0002/pdf

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