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

• DOI: 10.1016/j.amc.2017.02.016
• Publication Date: 2017-03-06T05:30:42Z
• Authors: Xiaoli Ye; Zhizheng Zhang
• Keywords: 0101 mathematics; 01 natural sciences

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.