EN
Hybrinomials related to hyper-Leonardo numbers
Abstract
In this paper, we define hybrinomials related to hyper-Leonardo numbers. We study some of their properties such as the recurrence relation and summation formulas. In addition, we introduce hybrid hyper Leonardo numbers.
Keywords
References
- Koshy T., Fibonacci and Lucas Numbers with Applications, Pure and Applied Mathematics, A Wiley-Interscience Series of Texts, Monographs and Tracts, New York: Wiley 2001.
- Yazlik Y., Taskara N., A note on generalized k-Horadam sequence, Computers and Mathematics with Applications, 63(1) (2012), 36-41. https://doi.org/10.1016/j.camwa.2011.10.055
- Falcon S., Plaza A., On the Fibonacci k-numbers, Chaos, Solitons and Fractals, 32 (2007), 1615-1624. https://doi.org/10.1016/j.chaos.2006.09.022
- Horadam A.F., Basic properties of a certain generalized sequence of numbers, The Fibonacci Quarterly, 3 (1965), 161-176.
- Catarino P., Borges A., On Leonardo numbers, Acta Mathematica Universitatis Comenianae, 89(1) (2020) 75-86.
- Edson M., Yayenie O., A new generalization of Fibonacci sequences and extended Binet’s formula, Integers, 9 (2009), 639–654. https://doi.org/10.1515/INTEG.2009.051
- Yayenie O., A note on generalized Fibonacci sequences, Applied Mathematics and Computation, 217 (2011), 5603-5611. https://doi.org/10.1016/j.amc.2010.12.038
- Kilic E., Tan E., More general identities involving the terms of W (a, b; p, q), Ars Combinatoria, 93 (2009), 459-461.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
March 30, 2023
Submission Date
July 10, 2022
Acceptance Date
September 7, 2022
Published in Issue
Year 2023 Volume: 72 Number: 1
APA
Mersin, E. Ö., & Bahşi, M. (2023). Hybrinomials related to hyper-Leonardo numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 72(1), 240-246. https://doi.org/10.31801/cfsuasmas.1142926
AMA
1.Mersin EÖ, Bahşi M. Hybrinomials related to hyper-Leonardo numbers. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72(1):240-246. doi:10.31801/cfsuasmas.1142926
Chicago
Mersin, Efruz Özlem, and Mustafa Bahşi. 2023. “Hybrinomials Related to Hyper-Leonardo Numbers”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 (1): 240-46. https://doi.org/10.31801/cfsuasmas.1142926.
EndNote
Mersin EÖ, Bahşi M (March 1, 2023) Hybrinomials related to hyper-Leonardo numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 1 240–246.
IEEE
[1]E. Ö. Mersin and M. Bahşi, “Hybrinomials related to hyper-Leonardo numbers”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 72, no. 1, pp. 240–246, Mar. 2023, doi: 10.31801/cfsuasmas.1142926.
ISNAD
Mersin, Efruz Özlem - Bahşi, Mustafa. “Hybrinomials Related to Hyper-Leonardo Numbers”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72/1 (March 1, 2023): 240-246. https://doi.org/10.31801/cfsuasmas.1142926.
JAMA
1.Mersin EÖ, Bahşi M. Hybrinomials related to hyper-Leonardo numbers. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72:240–246.
MLA
Mersin, Efruz Özlem, and Mustafa Bahşi. “Hybrinomials Related to Hyper-Leonardo Numbers”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 72, no. 1, Mar. 2023, pp. 240-6, doi:10.31801/cfsuasmas.1142926.
Vancouver
1.Efruz Özlem Mersin, Mustafa Bahşi. Hybrinomials related to hyper-Leonardo numbers. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023 Mar. 1;72(1):240-6. doi:10.31801/cfsuasmas.1142926
