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On dual hyperbolic numbers with generalized Jacobsthal numbers components

Author

Listed:
  • Yüksel Soykan

    (Zonguldak Bülent Ecevit University)

  • Erkan Taşdemir

    (Kırklareli University)

  • İnci Okumuş

    (İstanbul University-Cerrahpaşa)

Abstract

In this paper, we introduce the generalized dual hyperbolic Jacobsthal numbers. As special cases, we deal with dual hyperbolic Jacobsthal and dual hyperbolic Jacobsthal-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 & Erkan Taşdemir & İnci Okumuş, 2023. "On dual hyperbolic numbers with generalized Jacobsthal numbers components," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(3), pages 824-840, September.
    • Handle: RePEc:spr:indpam:v:54:y:2023:i:3:d:10.1007_s13226-022-00301-1
    DOI: 10.1007/s13226-022-00301-1
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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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