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On Hybrid numbers with Gaussian Mersenne Coefficients

Yıl 2023, Cilt: 16 Sayı: 1, 212 - 223, 31.03.2023
https://doi.org/10.18185/erzifbed.1162515

Öz

Kaynakça

  • [1] M. Ozdemir, Introduction to Hybrid Numbers. Adv. Appl. Clifford Algebras, (2018), 28:11
  • [2] D. Tascı, (2021), On Gaussian Mersenne Numbers, Journal of Science and Arts,21,s1021-1028, DOI:10.46939/j.sci.arts-21.4-a13
  • [3] E. Ozkan, M. Uysal, (2021), Mersenne-Lucas Hybrid Numbers, Mathematica Montisnigri 52:17-29, DOI: 10.20948/mathmontis-2021-52-2
  • [4] D. Ta ̧scı, E. Sevgi, Some Properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers, Chaos, Solitons and Fractals, 146, 110862, (2021).
  • [5] Y. Soykan, E. Ta ̧sdemir, 2021, Generalized Tetranacci Hybrid Numbers, Annales Mathematicae Silesianae,35(113-130), DOI:10.2478/amsil-2020-0021
  • [6] Y. Alp, EG. Kocer, 2021, Hybrid Leonardo numbers,Science Direct, DOI:10.1016/j.chaos.2021.111128
  • [7] Z. Isbilir, N. Gurses, 2021, Pentanacci and Pentanacci-Lucas hybrid numbers, Journal of Discrete Mathematical Sciences and Cryptography, DOI:10.1080/09720529.2021.1936899
  • [8] EG. Kocer, H. Alsan, 2021, Generalized Hybrid Fibonacci and Lucas p-numbers, Indian Journal of pure and Applied Mathematics, DOI:10.1007/s13226-021-00201-w
  • [9] C. Kızılates , A new generalization of Fibonacci hybrid and Lucas hybrid numbers, Chaos,Solitons and Fractals, 130, (2020).
  • [10] A.Szynal-Liana, The Horadam hybrid numbers, Discussiones Mathematicae–General Algebra and Applications, 38, (2018)
  • [11] H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1984.
  • [12] M. Uysal, E. Ozkan, Padovan Hybrid Quaternions and Some Properties, Journal of Science and Arts, Volume 22, Issue 1, pp. 121-132, 2022.
  • [13] A. Szynal-Liana, I. Wloch, On generalized Mersenne hybrid numbers, Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, Vol 74, No 1, 2020

On Hybrid numbers with Gaussian Mersenne Coefficients

Yıl 2023, Cilt: 16 Sayı: 1, 212 - 223, 31.03.2023
https://doi.org/10.18185/erzifbed.1162515

Öz

In this paper, we consider hybrid numbers with Gaussian Mersenne coefficients and investigate their interesting properties such as the Binet formula, Cassini, Catalan, Vajda, D’Ocagne and Honsberger identities. Moreover,
we illustrate the results with some examples.

Kaynakça

  • [1] M. Ozdemir, Introduction to Hybrid Numbers. Adv. Appl. Clifford Algebras, (2018), 28:11
  • [2] D. Tascı, (2021), On Gaussian Mersenne Numbers, Journal of Science and Arts,21,s1021-1028, DOI:10.46939/j.sci.arts-21.4-a13
  • [3] E. Ozkan, M. Uysal, (2021), Mersenne-Lucas Hybrid Numbers, Mathematica Montisnigri 52:17-29, DOI: 10.20948/mathmontis-2021-52-2
  • [4] D. Ta ̧scı, E. Sevgi, Some Properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers, Chaos, Solitons and Fractals, 146, 110862, (2021).
  • [5] Y. Soykan, E. Ta ̧sdemir, 2021, Generalized Tetranacci Hybrid Numbers, Annales Mathematicae Silesianae,35(113-130), DOI:10.2478/amsil-2020-0021
  • [6] Y. Alp, EG. Kocer, 2021, Hybrid Leonardo numbers,Science Direct, DOI:10.1016/j.chaos.2021.111128
  • [7] Z. Isbilir, N. Gurses, 2021, Pentanacci and Pentanacci-Lucas hybrid numbers, Journal of Discrete Mathematical Sciences and Cryptography, DOI:10.1080/09720529.2021.1936899
  • [8] EG. Kocer, H. Alsan, 2021, Generalized Hybrid Fibonacci and Lucas p-numbers, Indian Journal of pure and Applied Mathematics, DOI:10.1007/s13226-021-00201-w
  • [9] C. Kızılates , A new generalization of Fibonacci hybrid and Lucas hybrid numbers, Chaos,Solitons and Fractals, 130, (2020).
  • [10] A.Szynal-Liana, The Horadam hybrid numbers, Discussiones Mathematicae–General Algebra and Applications, 38, (2018)
  • [11] H. M. Srivastava and H. L. Manocha, A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1984.
  • [12] M. Uysal, E. Ozkan, Padovan Hybrid Quaternions and Some Properties, Journal of Science and Arts, Volume 22, Issue 1, pp. 121-132, 2022.
  • [13] A. Szynal-Liana, I. Wloch, On generalized Mersenne hybrid numbers, Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, Vol 74, No 1, 2020
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Serhat Yıldırım 0000-0002-8398-1670

Fatih Yılmaz 0000-0001-7873-1979

Erken Görünüm Tarihi 29 Mart 2023
Yayımlanma Tarihi 31 Mart 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 16 Sayı: 1

Kaynak Göster

APA Yıldırım, S., & Yılmaz, F. (2023). On Hybrid numbers with Gaussian Mersenne Coefficients. Erzincan University Journal of Science and Technology, 16(1), 212-223. https://doi.org/10.18185/erzifbed.1162515