Two-parameter generalization of bihyperbolic Jacobsthal numbers

Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona; Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona

doi:10.22199/issn.0717-6279-4071

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Proyecciones (Antofagasta)

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Proyecciones (Antofagasta) vol.41 no.3 Antofagasta June 2022

http://dx.doi.org/10.22199/issn.0717-6279-4071

Artículos

Two-parameter generalization of bihyperbolic Jacobsthal numbers

Dorota Bród¹
http://orcid.org/0000-0001-5181-1725

Anetta Szynal-Liana²
http://orcid.org/0000-0001-5508-0640

Iwona Włoch³
http://orcid.org/0000-0002-9969-0827

^¹Faculty of Mathematics and Applied Physics, Rzeszow University of Technology . Powstańców Warszawy 12, 35-959 Rzeszów, Poland. email: dorotab@prz.edu.pl

^²Faculty of Mathematics and Applied Physics, Rzeszow University of Technology. Powstańców Warszawy 12, 35-959 Rzeszów, Poland. email: aszynal@prz.edu.pl

^³Faculty of Mathematics and Applied Physics, Rzeszow University of Technology. Powstańców Warszawy 12, 35-959 Rzeszów, Poland. email: iwloch@prz.edu.pl

Abstract

In this paper, we define a two-parameter generalization of bihyperbolic Jacobsthal numbers. We give Binet formula, the generating functions and some identities for these numbers.

Keywords: Jacobsthal numbers; bihyperbolic numbers; bihyperbolic Jacobsthal numbers; recurrence relations; generating functions

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Received: April 30, 2020; Accepted: May 30, 2021

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