Hyper-Fibonacci and Hyper-Lucas Hybrinomials

Abstract

The hybrid numbers which are accepted as a generalization of complex, hyperbolic and dual numbers, have attracted the attention of many researchers recently. In this paper hyper-Fibonacci and hyper-Lucas hybrinomials are defined. The recurrence relations, generation functions, as well as some algebraic and combinatoric properties are examined for newly defined hybrinomials.

Keywords

• Hybrinomials
• Hyper-Fibonacci numbers
• Hyper-Lucas numbers
• Polynomials

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