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

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摘要

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.

论文关键词:Fibonaci number,h(x)-Fibonacci polynomial,The Convolved generalized Fibonacci polynomial,The extended convolved h(x)-Fibonacci–Lucas polynomials

论文评审过程:Received 2 March 2016, Revised 9 February 2017, Accepted 12 February 2017, Available online 6 March 2017, Version of Record 6 March 2017.

论文官网地址:https://doi.org/10.1016/j.amc.2017.02.016