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On dual hyperbolic generalized Fibonacci numbers

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Abstract

In this paper, we introduce the generalized dual hyperbolic Fibonacci numbers. As special cases, we deal with dual hyperbolic Fibonacci and dual hyperbolic Lucas numbers. We present Binet’s formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan’s, Cassini’s, d’Ocagne’s, Gelin-Cesàro’s, Melham’s identities and present matrices related with these sequences.

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Authors and Affiliations

  1. Department of Mathematics, Art and Science Faculty, Zonguldak Bülent Ecevit University, 67100, Zonguldak, Turkey

    Yüksel Soykan

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  1. Yüksel Soykan
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Correspondence to Yüksel Soykan.

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Communicated by B Sury.

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Soykan, Y. On dual hyperbolic generalized Fibonacci numbers. Indian J Pure Appl Math 52, 62–78 (2021). https://doi.org/10.1007/s13226-021-00128-2

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  • DOI: https://doi.org/10.1007/s13226-021-00128-2

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