On generalized Mersenne hybrid numbers

• Autorzy: Anetta Szynal-Liana , Iwona Włoch
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Czasopismo: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
• Rocznik: 2020
• Tom: 74
• Numer: 1

Daty

wydano

2020

online

2020-10-20

Twórcy

autor

Anetta Szynal-Liana

autor

Iwona Włoch

Bibliografia

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• 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.

Identyfikatory

DOI

10.17951/a.2020.74.1.77-84