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https://hdl.handle.net/11499/23655| Title: | SOME PROPERTIES OF k-ORDER GAUSSIAN FIBONACCI AND LUCAS NUMBERS | Authors: | Gürel, Eşref Aşçı, Mustafa |
Keywords: | Fibonacci numbers; Gaussian Fibonacci numbers; k-order Gaussian Fibonacci Numbers; k-order Gaussian Lucas Numbers |
Publisher: | CHARLES BABBAGE RES CTR | Abstract: | In this paper we define and study the k-order Gaussian Fibonacci and Lucas Numbers with boundary conditions. We identify and prove the generating functions, the Binet formulas, the summation formulas, matrix representation of k-order Gausian Fibonacci numbers and some significant relationships between k-order Gaussian Fibonacci and k-order Lucas numbers connecting with usual k-order Fibonacci numbers. | URI: | https://hdl.handle.net/11499/23655 | ISSN: | 0381-7032 |
| Appears in Collections: | Fen-Edebiyat Fakültesi Koleksiyonu WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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