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On dual hyperbolic generalized Fibonacci numbers

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  • Yüksel Soykan

    (Zonguldak Bülent Ecevit University)

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.

Suggested Citation

  • Yüksel Soykan, 2021. "On dual hyperbolic generalized Fibonacci numbers," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(1), pages 62-78, March.
  • Handle: RePEc:spr:indpam:v:52:y:2021:i:1:d:10.1007_s13226-021-00128-2
    DOI: 10.1007/s13226-021-00128-2
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    References listed on IDEAS

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    1. Yüksel Soykan, 2019. "Tribonacci and Tribonacci-Lucas Sedenions," Mathematics, MDPI, vol. 7(1), pages 1-19, January.
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