Research Article

Some infinite sums related to the generalized k-Fibonacci numbers

Number: 15 June 22, 2022
EN

Some infinite sums related to the generalized k-Fibonacci numbers

Abstract

In this study, some infinite sums related to the generalized k-Fibonacci numbers have been obtained by using infinite sums related to classic Fibonacci numbers and generalized Fibonacci numbers in literature.

Keywords

References

  1. Referans1 Koshy, T. (2001), Fibonacci and Lucas Numbers with Applications, Wiley, New York.
  2. Referans2 Falcon S., Plaza A. (2007), On the Fibonacci k-numbers, Chaos, Solitons & Fractals, 32(5), 1615-1624.
  3. Referans3 Yosma Z. (2008), Fibonacci and Lucas Numbers, Master's thesis, Graduate School of Natural Sciences, Sakarya University, Sakarya.
  4. Referans4 Saba N., Boussayoud, A. (2021), On the bivariate Mersenne Lucas polynomials and their properties, Chaos Solitons & Fractals, vol 146, doi: 10.1016 / j.chaos 2021.110899.2021.
  5. Referans5 Chelgham, M., Boussayoud, A. (2021), On the k-Mersenne Lucas numbers, Notes on number theory and discrete mathematics, 27(1), 7-13.
  6. Referans6 Saba N., Boussayoud, A., Abderrezzak, A. (2021), Symmetric and generating functions of generalized (p,q) numbers, Kuwait Journal of Science, 48(4).
  7. Referans7 Boughaba, S., Boussayoud, A., Saba, N., Kanuri, K. V. V. (2021), A new family of generating functions of binary products of bivariate complex Fibonacci polynomials and Gaussian numbers, Tblisi Mathematical Journal, 14(2), 221-237.
  8. Referans8 Taskara N., Uslu K., Gulec H. H. (2010), On the properties of Lucas numbers with binomial coefficients, Applied Mathematics Letters, 23(1), 68-72.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 22, 2022

Submission Date

February 25, 2022

Acceptance Date

March 7, 2022

Published in Issue

Year 2022 Number: 15

APA
Uslu, K., & Teke, M. (2022). Some infinite sums related to the generalized k-Fibonacci numbers. Journal of New Results in Engineering and Natural Sciences, 15, 21-28. https://izlik.org/JA48BZ89LS
AMA
1.Uslu K, Teke M. Some infinite sums related to the generalized k-Fibonacci numbers. JRENS. 2022;(15):21-28. https://izlik.org/JA48BZ89LS
Chicago
Uslu, Kemal, and Mustafa Teke. 2022. “Some Infinite Sums Related to the Generalized K-Fibonacci Numbers”. Journal of New Results in Engineering and Natural Sciences, nos. 15: 21-28. https://izlik.org/JA48BZ89LS.
EndNote
Uslu K, Teke M (June 1, 2022) Some infinite sums related to the generalized k-Fibonacci numbers. Journal of New Results in Engineering and Natural Sciences 15 21–28.
IEEE
[1]K. Uslu and M. Teke, “Some infinite sums related to the generalized k-Fibonacci numbers”, JRENS, no. 15, pp. 21–28, June 2022, [Online]. Available: https://izlik.org/JA48BZ89LS
ISNAD
Uslu, Kemal - Teke, Mustafa. “Some Infinite Sums Related to the Generalized K-Fibonacci Numbers”. Journal of New Results in Engineering and Natural Sciences. 15 (June 1, 2022): 21-28. https://izlik.org/JA48BZ89LS.
JAMA
1.Uslu K, Teke M. Some infinite sums related to the generalized k-Fibonacci numbers. JRENS. 2022;:21–28.
MLA
Uslu, Kemal, and Mustafa Teke. “Some Infinite Sums Related to the Generalized K-Fibonacci Numbers”. Journal of New Results in Engineering and Natural Sciences, no. 15, June 2022, pp. 21-28, https://izlik.org/JA48BZ89LS.
Vancouver
1.Kemal Uslu, Mustafa Teke. Some infinite sums related to the generalized k-Fibonacci numbers. JRENS [Internet]. 2022 Jun. 1;(15):21-8. Available from: https://izlik.org/JA48BZ89LS