Cite

[1] E. Ata and Y. Yaylı, Dual unitary matrices and unit dual quaternions, Differ. Geom. Dyn. Syst., 10 (2008), 1–12. Search in Google Scholar

[2] F. T. Aydın, Dual-complex k-Fibonacci numbers, Chaos Solitons Fractals, 115 (2018), 1–6.10.1016/j.chaos.2018.08.015 Search in Google Scholar

[3] F. T. Aydın, Dual Complex Pell Quaternions, Journal of Computer Science & Computational Mathematics, June 2020, DOI: 10.20967/jcscm.2020.02.001.10.20967/jcscm.2020.02.001 Search in Google Scholar

[4] A. Behera and G. K. Panda, On the square roots of triangular numbers, Fibonacci Quart., 37(2) (1999), 98–105. Search in Google Scholar

[5] M. A. Güngör and A. Z. Azak, Investigation of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers and Their Properties, Adv. Appl. Clifford Algebr., 27 (2017), 3083–3096.10.1007/s00006-017-0813-z Search in Google Scholar

[6] K. Liptai, F. Luca, Á. Pintér and L. Szalay, Generalized balancing numbers, Indag. Math. (N.S.), 20(1) (2009), 87–100.10.1016/S0019-3577(09)80005-0 Search in Google Scholar

[7] A. Özkoç, Tridiagonal matrices via k-balancing number, British Journal of Mathematics & Computer Science, 10(4) (2015), 1–11.10.9734/BJMCS/2015/19014 Search in Google Scholar

[8] A. Özkoç and A. Tekcan, On k-balancing numbers, Notes on Number Theory and Discrete Mathematics, Vol. 23, No. 3 (2017), 38–52. Search in Google Scholar

[9] G. K. Panda, Some fascinating properties of balancing numbers, Proceedings of the Eleventh International Conference on Fibonacci Numbers and their Applications, Cong. Numerantium, 194 (2009), 185–189. Search in Google Scholar

[10] G. K. Panda and P. K. Ray, Cobalancing numbers and cobalancers, Int. J. Math. Math. Sci., 8 (2005), 1189–1200.10.1155/IJMMS.2005.1189 Search in Google Scholar

[11] G. K. Panda and P. K. Ray, Some links of balancing and cobalancing numbers with Pell and associated Pell numbers, Bull. Inst. Math. Acad. Sin. (N.S.), Vol. 6 (2011), No. 1, 41–72. Search in Google Scholar

[12] B. K. Patel, N. Irmak and P. K. Ray, Incomplete balancing and Lucasbalancing numbers, Math. Rep. (Bucur.), 20(1) (2018), 59–72. Search in Google Scholar

[13] P. K. Ray, On the properties of k-balancing and k-Lucas-balancing numbers, Acta Comment. Univ. Tartu. Math., Vol. 21, No 2 (2017), 259–274.10.12697/ACUTM.2017.21.18 Search in Google Scholar

[14] A. Szynal-Liana and I. Włoch, Hypercomplex numbers of the Fibonacci type, Oficyna Wydawnicza Politechniki Rzeszowskiej, Rzeszów 2019. Search in Google Scholar

eISSN:
2066-7752
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics