Hyper-Fibonacci and Hyper-Lucas Polynomials

Abstract

In this paper, hyper-Fibonacci and hyper-Lucas polynomials are defined and some of their algebraic and combinatorial properties such as the recurrence relations, summation formulas, and generating functions are presented. In addition, some relationships between the hyper-Fibonacci and hyper-Lucas polynomials are given.

Keywords

• Hyper-Fibonacci numbers
• hyper-Lucas numbers
• polynomials

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