A new generalization of Leonardo hybrid numbers with q-integers

Hayrullah Özimamoğlu ()
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Hayrullah Özimamoğlu: Nevşehir Hacı Bektaş Veli University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 1, 325-334

Abstract: Abstract In this article, we introduce the q-Leonardo hybrid numbers by using the q-integers. These numbers are a new generalization of the known Leonardo hybrid numbers. Then, we obtain some algebraic characteristics of the q-Leonardo hybrid numbers such as Binet formula, exponential generating function, some summation formulas, Catalan’s, Cassini’s and d’Ocagne’s identities.

Keywords: Hybrid numbers; Fibonacci numbers; Leonardo numbers; q-integers (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00365-7

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