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A new generalization of Leonardo hybrid numbers with q-integers

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Nevşehir Hacı Bektaş Veli University, Nevşehir, 50300, Turkey

    Hayrullah Özimamoğlu

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  1. Hayrullah Özimamoğlu
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Correspondence to Hayrullah Özimamoğlu.

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Communicated by Eknath Ghate.

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Özimamoğlu, H. A new generalization of Leonardo hybrid numbers with q-integers. Indian J Pure Appl Math 55, 325–334 (2024). https://doi.org/10.1007/s13226-023-00365-7

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  • DOI: https://doi.org/10.1007/s13226-023-00365-7

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