On the Properties of Balancing and Lucas-Balancing $p$-Numbers

Author(s):

A. Behera , P. Ray*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
The main goal of this paper is to develop a new generalization of balancing and Lucas-balancing sequences namely balancing and Lucas-balancing $p$-numbers and derive several identities related to them. Some combinatorial forms of these numbers are also presented.
Keywords:

Balancing $p$-numbers , Lucas-balancing $p$-numbers , Incomplete balancing $p$-numbers , Incomplete Lucas-balancing $p$-numbers

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:17 Issue: 2, Nov 2022
Pages:
147 to 163
https://www.magiran.com/p2489257