EN
ON THE SEQUENCE OF GELL NUMBERS
Abstract
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.
Keywords
References
- 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).
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
January 31, 2020
Submission Date
January 24, 2020
Acceptance Date
March 2, 2020
Published in Issue
Year 2020 Volume: 3 Number: 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, and 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 (January 1, 2020) ON THE SEQUENCE OF GELL NUMBERS. Journal of Universal Mathematics 3 1 77–82.
IEEE
[1]O. Dışkaya and H. Menken, “ON THE SEQUENCE OF GELL NUMBERS”, JUM, vol. 3, no. 1, pp. 77–82, Jan. 2020, doi: 10.33773/jum.679833.
ISNAD
Dışkaya, Orhan - Menken, Hamza. “ON THE SEQUENCE OF GELL NUMBERS”. Journal of Universal Mathematics 3/1 (January 1, 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, and Hamza Menken. “ON THE SEQUENCE OF GELL NUMBERS”. Journal of Universal Mathematics, vol. 3, no. 1, Jan. 2020, pp. 77-82, doi:10.33773/jum.679833.
Vancouver
1.Orhan Dışkaya, Hamza Menken. ON THE SEQUENCE OF GELL NUMBERS. JUM. 2020 Jan. 1;3(1):77-82. doi:10.33773/jum.679833