Published: 2023-04-02

One-parameter generalization of dual-hyperbolic Jacobsthal numbers

Dorota Bród Logo ORCID , Anetta Szynal-Liana , Iwona Włoch

Abstract

In this paper, we introduce one-parameter generalization of dualhyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover, we give the generating function and summation formula for these numbers. The presented results are a generalization of the results for the dual-hyperbolic Jacobsthal numbers.

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Bród, D., Szynal-Liana, A., & Włoch, I. (2023). One-parameter generalization of dual-hyperbolic Jacobsthal numbers. Annales Mathematicae Silesianae, 37(2), 224–239. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/15439

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Domyślna okładka

Vol. 37 No. 2 (2023)
Published: 2023-09-21


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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