Cobalancing numbers and cobalancers GK Panda, PK Ray International Journal of Mathematics and Mathematical Sciences 2005 (8 …, 2005 | 135 | 2005 |
Some links of balancing and cobalancing numbers with Pell and associated Pell numbers GK Panda, PK Ray Bulletin of the Institute of Mathematics, Academia Sinica (New Series) 6 (1 …, 2011 | 110 | 2011 |
Balancing and cobalancing numbers PK Ray | 108 | 2009 |
Balancing and Lucas-balancing sums by matrix methods PK Ray Mathematical Reports 17 (2), 225-233, 2015 | 62 | 2015 |
Some Congruences for Balancing and Lucas-Balancing Numbers and Their Applications. PK Ray Integers 14 (A8), 2014 | 54 | 2014 |
INCOMPLETE BALANCING AND LUCAS-BALANCING NUMBERS BK PATEL, N IRMAK, PK RAY | 45 | 2018 |
Certain matrices associated with balancing and Lucas-balancing numbers PK Ray Matematika, 15-22, 2012 | 41 | 2012 |
On the properties of k-balancing numbers PK Ray Ain Shams Engineering Journal 9 (3), 395-402, 2018 | 32 | 2018 |
Balancing polynomials and their derivatives PK Ray Ukrainian mathematical journal 69 (4), 646-663, 2017 | 30 | 2017 |
Factorization of negatively subscripted balancing and Lucas-balancing numbers PK Ray Bol. Soc. Paran. Mat 31 (2), 161-173, 2013 | 23 | 2013 |
Curious congruences for balancing numbers PK Ray Int. J. Contemp. Math. Sci 7 (18), 881-889, 2012 | 23 | 2012 |
The period, rank and order of the sequence of balancing numbers modulo m BKPPK Ray Mathematical Reports 18 (3), 2016 | 22* | 2016 |
Application of Chybeshev polynomials in factorization of balancing and Lucasbalancing numbers PK Ray Bol. Soc. Paran. Mat 30 (2), 49-56, 2012 | 22 | 2012 |
On the properties of (p, q)-Fibonacci and (p, q)-Lucas quaternions BK Patel, PK Ray Mathematical Reports 21 (71), 15-25, 2019 | 20 | 2019 |
Generating functions for certain balancing and lucas-balancing numbers PK Ray, J Sahu Palestine Journal of Mathematics 5 (2), 122-129, 2016 | 20 | 2016 |
New identities for the common factors of balancing and Lucas-balancing numbers PK Ray International Journal of Pure and Applied Mathematics 85 (3), 487-494, 2013 | 19 | 2013 |
On the properties of Lucas-balancing numbers by matrix method PK Ray Sigmae 3 (1), 1-6, 2014 | 18 | 2014 |
On the properties of k-balancing and k-Lucas-balancing numbers PK Ray Acta et commentationes universitatis tartuensis de mathematica 21 (2), 259-274, 2017 | 17 | 2017 |
Balancing sequences of matrices with application to algebra of balancing numbers PK Ray Notes on number theory and discrete mathematics 20 (1), 49-58, 2014 | 13 | 2014 |
Balancing and cobalancing numbers [Ph. D. thesis] PK Ray Department of Mathematics, National Institute of Technology, Rourkela, India, 2009 | 12 | 2009 |