Article ID: MTJPAM-D-21-00071

Title: The q-analogue of a specific property of second order linear recurrences


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00071; Volume 5 / Issue 3 / Year 2023, Pages 49-57

Document Type: Research Paper

Author(s): Hacène Belbachir a, Athmane Benmezai b, Abdelkader Bouyakoub c

aUSTHB, Faculty of Mathematics, RECITS Lab., Po. Box 32, El Alia 16111, Bab Ezzouar, Algiers, Algeria

bFac. of Eco. & Manag. Sc., Univ. of Dely Brahim, RECITS Lab., Rue Ahmed Ouaked, Dely Brahim, Algiers, Algeria-USTHB–Faculty of Mathematics, RECITS Lab., Po. Box 32, El Alia 16111, Bab Ezzouar, Algiers, Algeria

cDepart. of Math., Fac. of Sc., Oran Univ., GEAN Lab., Po. Box 1524, ELM_Naouer, 31000, Oran, Algeria

Received:28 November 2021, Accepted:12 March 2022, Published:2 July 2022.

Corresponding Author: Hacène Belbachir (Email address: hbelbachir@usthb.dz)

Full Text: PDF

Abstract

A translated recurrent sequence of rank two is related to the Fibonacci sequence, this property is generalized in this paper using a q-analogue of Fibonacci sequence suggested by J. Cigler. We give some specialization to the generalized Fibonacci and Lucas sequences.

Keywords: Fibonacci polynomials, Lucas polynomials, q-analogues

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