Jacobsthal Representation Hybrinomials

Author:

Liana Mirosław1,Szynal-Liana Anetta2ORCID,Włoch Iwona2

Affiliation:

1. Rzeszow University of Technology , The Faculty of Management , al. Powstańców Warszawy 10, 35-959 Rzeszów , Poland

2. Rzeszow University of Technology , The Faculty of Mathematics and Applied Physics , al. Powstańców Warszawy 12, 35-959 Rzeszów , Poland

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference13 articles.

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2. [2] G.B. Djordjević, Generalized Jacobsthal polynomials, Fibonacci Quart. 38 (2000), no. 3, 239–243.

3. [3] A.F. Horadam, Jacobsthal and Pell curves, Fibonacci Quart. 26 (1988), no. 1, 77–83.

4. [4] A.F. Horadam, Jacobsthal representation numbers, Fibonacci Quart. 34 (1996), no. 1, 40–54.

5. [5] A.F. Horadam, Jacobsthal representation polynomials, Fibonacci Quart. 35 (1997), no. 2, 137–148.

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1. On Generalized Fibonacci Hybrinomials;Communications in Mathematics and Applications;2022-08-17

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