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ON THE GENERALIZED BI-PERIODIC FIBONACCI AND LUCAS QUATERNIONS
- Authors
- Choo, Younseok
- Issue Date
- 2019
- Publisher
- UNIV MISKOLC INST MATH
- Keywords
- generalized bi-periodic Fibonacci sequence; generalized bi-periodic Lucas sequence; quaternion; Binet' s formula; generating function; Catalan' s identity
- Citation
- MISKOLC MATHEMATICAL NOTES, v.20, no.2, pp.807 - 821
- Journal Title
- MISKOLC MATHEMATICAL NOTES
- Volume
- 20
- Number
- 2
- Start Page
- 807
- End Page
- 821
- ISSN
- 1787-2405
- Abstract
- In this paper we introduce the generalized bi-periodic Fibonacci and Lucas quaternions which are the further generalizations of the bi-periodic Fibonacci and Lucas quaternions considered in the literature. For those quaternions, we derive the generating functions, Binet's formulas and Catalan's identities.
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Related Researcher
- Choo, Youn seok
- Science & Technology (전자전기융합공학과)