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On generalized Fibonacci k-sequences and Fibonacci k-numbers
- Authors
- Kim, Hee Sik; Neggers, J.; Park, Choonkil
- Issue Date
- May-2018
- Publisher
- Eudoxus Press, LLC
- Keywords
- ((α; β; γ)-)Fibonacci (k-)function; ((α; β; γ)-)Fibonacci k-sequence
- Citation
- Journal of Computational Analysis and Applications, v.24, no.5, pp.805 - 814
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 24
- Number
- 5
- Start Page
- 805
- End Page
- 814
- ISSN
- 1521-1398
- Abstract
- In this paper analogs of Fibonacci sequences and Fibonacci numbers as well as Fibonacci functions (the case n = 2) for cases n = 3, 4. … are introduced. It is shown that these analogs are related to each other in a regular manner and that if (Formula presented) for a Fibonacci k-sequence, then (Formula presented) Many identities of types similar to those which hold for the case n = 2 (i.e., the Fibonacci case) are also established, indicating the existence of a larger theory of which the Fibonacci case is an integrated part.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)