Two generalizations of dual-complex Lucas-balancing numbers-Reference-Cited by-同舟云学术

Two generalizations of dual-complex Lucas-balancing numbers

Published:2022-12-01 Issue:2 Volume:14 Page:220-230
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Bród Dorota¹,Szynal-Liana Anetta²,Włoch Iwona²

Affiliation:

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

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

Abstract

Abstract In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan, Cassini, d’Ocagne identities.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2022-0014

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