One-parameter generalization of the bihyperbolic Jacobsthal numbers-Reference-Cited by-同舟云学术

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One-parameter generalization of the bihyperbolic Jacobsthal numbers

Published:2022-10-25 Issue:05 Volume:16 Page:
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Bród Dorota¹,Szynal-Liana Anetta¹,Włoch Iwona¹

Affiliation:

1. Faculty of Mathematics and Applied Physics, Rzeszow University of Technology, Aleja Powstańców Warszawy 12, 35-959 Rzeszów, Poland

Abstract

In this paper, we introduce and study a one-parameter generalization of bihyperbolic Jacobsthal numbers. We give some identities and the generating function for these numbers.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557123500754

Reference20 articles.

1. Algebraic Properties of Bihyperbolic Numbers

2. On $J(r,n)$-Jacobsthal quaternions

3. LXIV. On certain functions resembling quaternions, and on a new imaginary in algebra

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