On the Generalized Order-$k$ Fibonacci and Lucas Numbers
Article Properties
-
DOI (url)
-
Publication Date2006/12/01
-
Indian UGC (journal)
-
Refrences7
-
Citations23
-
Emrah Kiliç
-
Dursun Taşci
Journal Category
Science
Mathematics
You May Also Like
- THE ART OF FRAME THEORY
- ON THE HADAMARD’S INEQULALITY FOR CONVEX FUNCTIONS ON THE CO-ORDINATES IN A RECTANGLE FROM THE PLANE
- STRONG CONVERGENCE TO COMMON FIXED POINTS OF INFINITE NONEXPANSIVE MAPPINGS AND APPLICATIONS
- Determination of the Correct Range of Physical Parameters in the Approximate Analytical Solutions of Nonlinear Equations Using the Adomian Decomposition Method
- Partial b-Metric Spaces and Fixed Point Theorems
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Generalized Fibonacci Numbers and Associated Matrices | The American Mathematical Monthly |
| 37 | 1960 |
| 10.1016/S0096-3003(02)00827-5 | ||||
| 10.1016/S0096-3003(03)00804-X | ||||
| S. Vajda, Fibonacci & Lucas numbers and the golden section, Chichester, Brisbane, 1989. | ||||
| M.C. Er, Sums of Fibonacci numbers by matrix methods, Fibonacci Quart. 22 (1984), 204-207. |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Factorizations and eigenvalues of the (r, k)-bonacci matrices | Computational and Applied Mathematics |
| 1 | 2023 |
| Elliptic curve and k-Fibonacci-like sequence | Scientific African |
| 2023 | |
Generalized Fibonacci Sequences for Elliptic Curve Cryptography | Mathematics |
| 2023 | |
Mulatu Numbers That Are Concatenations of Two Lucas Numbers | Afyon Kocatepe University Journal of Sciences and Engineering | 2023 | ||
Investigation of Matrices Q^(n._L ), M^(n._L ) and R^(n._L ) and Some Related Identities | Sakarya University Journal of Science |
| 2022 |
Citations Analysis
The category
Science: Mathematics 13
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled THE GENERALIZED BINET FORMULA, REPRESENTATION AND SUMS OF THE GENERALIZED ORDER-$k$ PELL NUMBERS and was published in 2006. The most recent citation comes from a 2023 study titled Generalized Fibonacci Sequences for Elliptic Curve Cryptography. This article reached its peak citation in 2023, with 4 citations. It has been cited in 19 different journals, 26% of which are open access. Among related journals, the Rocky Mountain Journal of Mathematics cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.