On generalized Mersenne hybrid numbers

Anetta Szynal-Liana, Iwona Włoch

Abstract


The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider  a special kind of hybrid numbers, namely the Mersenne hybrid numbers and we give some of their properties.

Keywords


Mersenne numbers, recurrence relations, complex numbers, hyperbolic numbers, dual numbers

Full Text:

PDF

References


Bednarz, U., Włoch, I., Wołowiec-Musiał, M., Total graph interpretation of the numbers of the Fibonacci type, J. Appl. Math. (2015), Article ID 837917, 7 pp., http://dx.doi.org/10.1155/2015/837917.

Horadam, A. F., Basic properties of a certain generalized sequence of numbers, Fibonacci Quart. 3 (3) (1965), 161–176.

Ochalik, P., Włoch, A., On generalized Mersenne numbers, their interpretations and matrix generators, Ann. Univ. Mariae Curie-Skłodowska Sect. A 72 (1) (2018), 69–76, http://dx.doi.org/10.17951/a.2018.72.1.69-76.

Ozdemir, M., Introduction to hybrid numbers, Adv. Appl. Clifford Algebr. 28 (2018), Article ID 11, https://doi.org/10.1007/s00006-018-0833-3.

Szynal-Liana, A., The Horadam hybrid numbers, Discuss. Math. Gen. Algebra Appl. 38 (1) (2018), 91–98, http://dx.doi.org/10.7151/dmgaa.

Szynal-Liana, A., Włoch, I., On Jacobsthal and Jacobsthal–Lucas hybrid numbers, Ann. Math. Sil. (2018), https://doi.org/10.2478/amsil-2018-0009.

Szynal-Liana, A., Włoch, I., On Pell and Pell–Lucas hybrid numbers, Comment. Math. 58 (1–2) (2018), 11–17, https://doi.org/10.14708/cm.v58i1-2.6364.

Szynal-Liana, A., Włoch, I., The Fibonacci hybrid numbers, Util. Math. 110 (2019), 3–10.




DOI: http://dx.doi.org/10.17951/a.2020.74.1.77-84
Date of publication: 2020-10-20 20:08:08
Date of submission: 2020-10-11 14:45:26


Statistics


Total abstract view - 1115
Downloads (from 2020-06-17) - PDF - 830

Indicators



Refbacks

  • There are currently no refbacks.


Copyright (c) 2020 Anetta Szynal-Liana