More Identities for Fibonacci and Lucas quaternions
نویسندگان
چکیده
منابع مشابه
Some Identities for Generalized Fibonacci and Lucas Sequences
In this study, we define a generalization of Lucas sequence {pn}. Then we obtain Binet formula of sequence {pn} . Also, we investigate relationships between generalized Fibonacci and Lucas sequences.
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As in [1, 2], for rapid numerical calculations of identities pertaining to Lucas or both Fibonacci and Lucas numbers we present each identity as a binomial sum. 1. Preliminaries The two most well-known linear homogeneous recurrence relations of order two with constant coefficients are those that define Fibonacci and Lucas numbers (or Fibonacci and Lucas sequences). They are defined recursively ...
متن کاملFibonacci Sequences of Quaternions
In this paper Fibonacci sequences of quaternions are introduced, generalizing Fibonacci sequences over commutative rings, and properties of such sequences are investigated. In particular we are concerned with two kinds of Fibonacci sequences of generalized quaternions over finite fields Fp, with p an odd prime, and their periods.
متن کاملNew Identities for the Even and Odd Fibonacci and Lucas Numbers
In this study, we obtain a new identities for Fibonacci numbers F2n, F−2n, F2n+1, F−2n+1 and Lucas numbers L2n, L−2n, L2n+1, L−2n+1 when n ≥ 1.
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ژورنال
عنوان ژورنال: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
سال: 2019
ISSN: 1303-5991
DOI: 10.31801/cfsuasmas.440575