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Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients
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: Received: 13 December 2020 / Approved: 14 December 2020 / Online: 14 December 2020 (15:39:16 CET)
How to cite: Polatlı, E. Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients. Preprints 2020, 2020120349 Polatlı, E. Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients. Preprints 2020, 2020120349
Abstract
In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, exponential generating functions for these numbers. Then we define an associate matrix for these numbers. In addition, using this matrix, we present two different versions of Cassini identitiy of these numbers.
Keywords
Fibonacci hybrid numbers, Lucas hybrid numbers, Binet Formula, generating function, matrix method.
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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