An alternative approach to Cigler’s q-Lucas polynomials

We modify Cigler’s approach to q-Fibonacci and q-Lucas polynomials by introducing two kinds of q-Lucas polynomials. This allows some new generalizations of classical identities related to Fibonacci and Lucas numbers.

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation Vol. 226; pp. 691 - 698
Main Authors: Belbachir, Hacène, Benmezai, Athmane
Format: Journal Article
Language:English
Published: Elsevier Inc 01.01.2014
Subjects:
ISSN:0096-3003, 1873-5649
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We modify Cigler’s approach to q-Fibonacci and q-Lucas polynomials by introducing two kinds of q-Lucas polynomials. This allows some new generalizations of classical identities related to Fibonacci and Lucas numbers.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.10.009