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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.
Subject Areas
Fibonacci hybrid numbers, Lucas hybrid numbers, Binet Formula, generating function, matrix method.
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