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ON THE GENERALIZED BI-PERIODIC FIBONACCI AND LUCAS QUATERNIONS
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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.
키워드
generalized bi-periodic Fibonacci sequence; generalized bi-periodic Lucas sequence; quaternion; Binet's formula; generating function; Catalan's identity
- 제목
- ON THE GENERALIZED BI-PERIODIC FIBONACCI AND LUCAS QUATERNIONS
- 저자
- Choo, Younseok
- 발행일
- 2019
- 유형
- Article
- 권
- 20
- 호
- 2
- 페이지
- 807 ~ 821