New Properties and Identities for Fibonacci Finite Operator Quaternions
نویسندگان
چکیده
In this paper, with the help of finite operators and Fibonacci numbers, we define a new family quaternions whose components are operator numbers. We also provide some properties these types quaternions. Moreover, derive many identities related to by using matrix representations.
منابع مشابه
A new method for obtaining Fibonacci identities
For the Lucas sequence {Uk(P,Q)} we discuss the identities like the well-known Fibonacci identities. For example, the generalizations of F2k = F 2 k+1 − F 2 k−1 and F2k+1 = F 2 k+1 + F 2 k are PU2k = U 2 k+1 − QU k−1 and U2k+1 = U k+1 − QU k , respectively. We propose a new simple method for obtaining identities involving any recurrences and use it to obtain new identities involving the Fibonac...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10101719