%0 Journal Article %A Behera, A. %A Ray, P. %T On the Properties of Balancing and Lucas-Balancing $p$-Numbers %J Iranian Journal of Mathematical Sciences and Informatics %V 17 %N 2 %U http://ijmsi.ir/article-1-1448-en.html %R 10.52547/ijmsi.17.2.147 %D 2022 %K Balancing $p$-numbers, Lucas-balancing $p$-numbers, Incomplete balancing $p$-numbers, Incomplete Lucas-balancing $p$-numbers., %X 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. %> http://ijmsi.ir/article-1-1448-en.pdf %P 147-163 %& 147 %! %9 Research paper %L A-10-3986-1 %+ Department of Mathematics, Sambalpur University, Burla, India %G eng %@ 1735-4463 %[ 2022