On dual hyperbolic generalized Fibonacci numbers

Yüksel Soykan ()
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Yüksel Soykan: Zonguldak Bülent Ecevit University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 62-78

Abstract: 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.

Keywords: Fibonacci numbers; Lucas numbers; Dual hyperbolic numbers; Dual hyperbolic Fibonacci numbers; Cassini identity; 11B39; 11B83 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00128-2

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