A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications

The purpose of this paper is to give a common generalization of convolved generalized Fibonacci and Lucas polynomials and some recurrence relations are established. As applications, we obtain some computational formulas of mixed-multiple sums for h(x)-Fibonacci polynomials and Lucas polynomials.

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 306; pp. 31 - 37
Main Authors: Ye, Xiaoli, Zhang, Zhizheng
Format: Journal Article
Language:English
Published: Elsevier Inc 01.08.2017
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ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Description
Summary:The purpose of this paper is to give a common generalization of convolved generalized Fibonacci and Lucas polynomials and some recurrence relations are established. As applications, we obtain some computational formulas of mixed-multiple sums for h(x)-Fibonacci polynomials and Lucas polynomials.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2017.02.016