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Turkish Journal of Mathematics

DOI

10.55730/1300-0098.3254

Abstract

In this paper, we introduce a new generalization of Fibonacci and Lucas hybrid polynomials. We investigate some basic properties of these polynomials such as recurrence relations, the generating functions, the Binet formulas, summation formulas, and a matrix representation. We derive generalized Cassini's identity and generalized Honsberger formula for generalized Fibonacci hybrid polynomials by using their matrix representation.

First Page

2069

Last Page

2077

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Mathematics Commons

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