On Generalized Jacobsthal and Jacobsthal-Lucas polynomials-Reference-Cited by-同舟云学术

On Generalized Jacobsthal and Jacobsthal-Lucas polynomials

Published:2016-11-01 Issue:3 Volume:24 Page:61-78
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
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Author:

Catarino Paula¹,Morgado Maria Luisa¹

Affiliation:

1. Mathematics Centre CMAT, Pole CMAT-UTAD, Department of Mathematics, University of Trás-os-Montes e Alto Douro, UTAD, Quinta de Prados 5000-801, Vila Real , Portugal

Abstract

Abstract In this paper we introduce a generalized Jacobsthal and Jacobsthal-Lucas polynomials, Jh,n and jh,n, respectively, that consist on an extension of Jacobsthal's polynomials Jn(𝑥) and Jacobsthal-Lucas polynomials jn(𝑥). We provide their properties and a generalization of the usual identities. We also present, for each one of these generalized polynomials, their ordinary generating functions and matrices. In the last part of the paper, we present some special kind of tridiagonal matrices whose entries are elements of these generalized polynomials.

Publisher

Walter de Gruyter GmbH

Reference19 articles.

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