Generalized Fibonacci and Lucas hybrid polynomials
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Abstract (EN)
In this study, generalized Fibonacci and Lucas hybrid polynomials are defined by using generalized Fibonacci and Lucas polynomials with hybrid numbers, which are a generalization of complex, dual and hyperbolic numbers. Sequences of these hybrid polynomials are created, and the recurrence relations, the properties of these sequences are obtained. The relations between terms of generalized Fibonacci and Lucas hybrid polynomial sequences are presented with equations. Also, generating functions, Binet formulas and matrix representations are given for these polynomials. Keywords: Fibonacci polynomial, Generalized Fibonacci polynomials, Hybrid numbers, Hybrid polynomials, Lucas polynomia
Author
Ayşe Şahin
How to Cite
Ayşe Şahin (Master Thesis). Generalized Fibonacci and Lucas hybrid polynomials, 2022, Erzincan Binali Yıldırım University.
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