Jacobsthal representation hybrinomials

Mirosław Liana; Anetta Szynal-Liana; Iwona Włoch

Published: 2021-11-27

Vol. 36 No. 1 (2022)

Jacobsthal representation hybrinomials

Mirosław Liana , Anetta Szynal-Liana

, Iwona Włoch

Abstract

Jacobsthal numbers are a special case of numbers defined recursively by the second order linear relation and for these reasons they are also named as numbers of the Fibonacci type. They have many interpretations, representations and applications in distinct areas of mathematics. In this paper we present the Jacobsthal representation hybrinomials, i.e. polynomials, which are a generalization of Jacobsthal hybrid numbers.

Keywords:

Jacobsthal numbers , recurrence relations , complex numbers , hyperbolic numbers , dual numbers , polynomials

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Liana, M., Szynal-Liana, A., & Włoch, I. (2021). Jacobsthal representation hybrinomials. Annales Mathematicae Silesianae, 36(1), 57–70. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13461

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Mirosław Liana

Affiliation:

Politechnika Rzeszowska, Wydział Zarządzania Poland

Anetta Szynal-Liana

aszynal@prz.edu.pl
https://orcid.org/0000-0001-5508-0640

Affiliation:

Politechnika Rzeszowska, Wydział Matematyki i Fizyki Stosowanej Poland

Iwona Włoch

Affiliation:

Politechnika Rzeszowska, Wydział Matematyki i Fizyki Stosowanej Poland

Vol. 36 No. 1 (2022)
Published: 2022-03-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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