TY - JOUR JF - IJMSI JO - IJMSI VL - 17 IS - 2 PY - 2022 Y1 - 2022/9/01 TI - On the Properties of Balancing and Lucas-Balancing $p$-Numbers TT - N2 - 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. SP - 147 EP - 163 AU - Behera, A. AU - Ray, P. AD - Department of Mathematics, Sambalpur University, Burla, India KW - Balancing $p$-numbers KW - Lucas-balancing $p$-numbers KW - Incomplete balancing $p$-numbers KW - Incomplete Lucas-balancing $p$-numbers. UR - http://ijmsi.ir/article-1-1448-en.html DO - 10.52547/ijmsi.17.2.147 ER -