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On generalized Fibonacci k-sequences and Fibonacci k-numbers

Authors
Kim, Hee SikNeggers, J.Park, Choonkil
Issue Date
May-2018
Publisher
Kluwer Academic Publishers
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
Pages
10
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
24
Number
5
Start Page
805
End Page
814
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/150077
ISSN
1521-1398
1572-9206
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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