EN
ON THE SEQUENCE OF GELL NUMBERS
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
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).
Ayrıntılar
Birincil Dil
İngilizce
Konular
Matematik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
31 Ocak 2020
Gönderilme Tarihi
24 Ocak 2020
Kabul Tarihi
2 Mart 2020
Yayımlandığı Sayı
Yıl 2020 Cilt: 3 Sayı: 1
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
1.Dışkaya O, Menken H. ON THE SEQUENCE OF GELL NUMBERS. JUM. 2020;3(1):77-82. doi:10.33773/jum.679833
Chicago
Dışkaya, Orhan, ve Hamza Menken. 2020. “ON THE SEQUENCE OF GELL NUMBERS”. Journal of Universal Mathematics 3 (1): 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
[1]O. Dışkaya ve H. Menken, “ON THE SEQUENCE OF GELL NUMBERS”, JUM, c. 3, sy 1, ss. 77–82, Oca. 2020, doi: 10.33773/jum.679833.
ISNAD
Dışkaya, Orhan - Menken, Hamza. “ON THE SEQUENCE OF GELL NUMBERS”. Journal of Universal Mathematics 3/1 (01 Ocak 2020): 77-82. https://doi.org/10.33773/jum.679833.
JAMA
1.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, Ocak 2020, ss. 77-82, doi:10.33773/jum.679833.
Vancouver
1.Orhan Dışkaya, Hamza Menken. ON THE SEQUENCE OF GELL NUMBERS. JUM. 01 Ocak 2020;3(1):77-82. doi:10.33773/jum.679833