Some properties of the \((p,q)\)-Fibonacci and \((p,q)\)-Lucas polynomials
type: Item
instance of: scholarly article
title: Some properties of the \((p,q)\)-Fibonacci and \((p,q)\)-Lucas polynomials
zbMATH Open document ID: 1278.11017
DOI: 10.1155/2012/264842
author: Mustafa Aşci
author: Gwangyeon Lee
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials called \((p, q)\)-Fibonacci polynomials. We obtain combinatorial identities and by using Riordan method we get factorizations of a Pascal matrix involving \((p, q)\)-Fibonacci polynomials.
Mathematics Subject Classification ID: 11B39
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 11B65
zbMATH DE Number: 6106159
zbMATH Keywords: Pascal matrix
zbMATH Keywords: generalization of Fibonacci polynomials
zbMATH Keywords: combinatorial identities
zbMATH Keywords: Riordan arrays
zbMATH Keywords: factorizations of Pascal matrix
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/264842
OpenAlex ID: W1520342518
Wikidata QID: Q58906512
cites work: Fibonacci and Lucas numbers with applications. Volume I
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cites work: The linear algebra of the Pascal matrix
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description: scientific article; zbMATH DE number 6106159