A new family of k-Fibonacci numbers |
| |
| Authors: | Moawwad El-Mikkawy Tomohiro Sogabe |
| |
| Affiliation: | a Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
b Graduate School of Information Science and Technology, Aichi Prefectural University, 1522-3 Kumabari, Nagakute, Aichi 480-1198, Japan |
| |
| Abstract: | In the present paper, we give a new family of k-Fibonacci numbers and establish some properties of the relation to the ordinary Fibonacci numbers. Furthermore, we describe the recurrence relations and the generating functions of the new family for k=2 and k=3, and presents a few identity formulas for the family and the ordinary Fibonacci numbers. |
| |
| Keywords: | Fibonacci numbers Generalized k-Fibonacci numbers k-Tridiagonal matrix Determinant Generating functions Recurrence relation |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
