Araştırma Makalesi
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ON THE SEQUENCE OF GELL NUMBERS

Yıl 2020, , 77 - 82, 31.01.2020

Orhan Dışkaya , Hamza Menken

https://doi.org/10.33773/jum.679833

Öz

In this paper, we consider Pell numbers. We define the gell numbers which generalize the Pell numbers. Moreover, we derive Binet-like formula,
generating function and exponential generating function for the gell sequence. Also, we obtain the gell series and some important identities for the
gell sequence.

Anahtar Kelimeler

Pell sequence generalized Pell sequence Binet-like formula generating function exponential generating function

Kaynakça

  • F. T. Aydin and K. Köklü, On Generalizations of the Pell Sequence. arXiv preprint arXiv:1711.06260 (2017).
  • M. Bicknell, A primer on the Pell sequence and related sequences; Fibonacci Quarterly, 13(4), 345-349 (1975).
  • A. F. Horadam, Pell Identities, The Fibonacci Quarterly, 9 (3), 245-252 (1971).
  • T. Koshy, Pell and Pell-Lucas Numbers with Applications, Springer-Verlag New York, 2014.
  • T. Koshy, Fibonacci and Lucas Numbers with Applications Volume 1, John Wiley Sons, New Jersey, 2018.
  • R. Melham, Sums involving Fibonacci and Pell numbers, Portugal. Math., 56 (3), 309-317 (1999).

Yıl 2020, , 77 - 82, 31.01.2020

Orhan Dışkaya , Hamza Menken

https://doi.org/10.33773/jum.679833

Öz

Kaynakça

  • F. T. Aydin and K. Köklü, On Generalizations of the Pell Sequence. arXiv preprint arXiv:1711.06260 (2017).
  • M. Bicknell, A primer on the Pell sequence and related sequences; Fibonacci Quarterly, 13(4), 345-349 (1975).
  • A. F. Horadam, Pell Identities, The Fibonacci Quarterly, 9 (3), 245-252 (1971).
  • T. Koshy, Pell and Pell-Lucas Numbers with Applications, Springer-Verlag New York, 2014.
  • T. Koshy, Fibonacci and Lucas Numbers with Applications Volume 1, John Wiley Sons, New Jersey, 2018.
  • R. Melham, Sums involving Fibonacci and Pell numbers, Portugal. Math., 56 (3), 309-317 (1999).
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Orhan Dışkaya

Hamza Menken

Yayımlanma Tarihi 31 Ocak 2020
Gönderilme Tarihi 24 Ocak 2020
Kabul Tarihi 2 Mart 2020
Yayımlandığı Sayı Yıl 2020

Kaynak Göster

APA Dışkaya, O., & Menken, H. (2020). ON THE SEQUENCE OF GELL NUMBERS. Journal of Universal Mathematics, 3(1), 77-82. https://doi.org/10.33773/jum.679833
AMA Dışkaya O, Menken H. ON THE SEQUENCE OF GELL NUMBERS. JUM. Ocak 2020;3(1):77-82. doi:10.33773/jum.679833
Chicago Dışkaya, Orhan, ve Hamza Menken. “ON THE SEQUENCE OF GELL NUMBERS”. Journal of Universal Mathematics 3, sy. 1 (Ocak 2020): 77-82. https://doi.org/10.33773/jum.679833.
EndNote Dışkaya O, Menken H (01 Ocak 2020) ON THE SEQUENCE OF GELL NUMBERS. Journal of Universal Mathematics 3 1 77–82.
IEEE O. Dışkaya ve H. Menken, “ON THE SEQUENCE OF GELL NUMBERS”, JUM, c. 3, sy. 1, ss. 77–82, 2020, doi: 10.33773/jum.679833.
ISNAD Dışkaya, Orhan - Menken, Hamza. “ON THE SEQUENCE OF GELL NUMBERS”. Journal of Universal Mathematics 3/1 (Ocak 2020), 77-82. https://doi.org/10.33773/jum.679833.
JAMA Dışkaya O, Menken H. ON THE SEQUENCE OF GELL NUMBERS. JUM. 2020;3:77–82.
MLA Dışkaya, Orhan ve Hamza Menken. “ON THE SEQUENCE OF GELL NUMBERS”. Journal of Universal Mathematics, c. 3, sy. 1, 2020, ss. 77-82, doi:10.33773/jum.679833.
Vancouver Dışkaya O, Menken H. ON THE SEQUENCE OF GELL NUMBERS. JUM. 2020;3(1):77-82.