Some remarks on recursive sequence of fibonacci type
AIMS MathematicsThis paper presents a detailed procedure for determining the probability of return for random walks on $ \mathbb{Z} $, whose increment is given by a generalization of a well-known Fibonacci sequence, namely the $ k $-Fibonacci-like sequence $ (G_{k, n ...
Najmeddine Attia
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The Research of the Generalized Fibonacci Sequence -based Propagation
, 2012 Aihua Gu, Yingying Xu
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On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces
Communications in Advanced Mathematical SciencesIn this work, we give some results about the basic properties of the vector-valued Fibonacci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms ...
Seçkin Yalçın, Yılmaz Yılmaz
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A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions
, 2023 Emil Daniel Schwab, Gabriela Schwab
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Weakly unconditionally Cauchy series and Fibonacci sequence spaces. [PDF]
J Inequal Appl, 2017 Kama R, Altay B.
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The Discriminant of the Characteristic Polynomial of the $k$th Fibonacci sequence is not a member of the $k$th Lucas sequence [PDF]
Herbert Batte, Florian Luca
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A MATRIX REPRESENTATION OF A GENERALIZED FIBONACCI POLYNOMIAL
Journal of New Theory, 2017 The Fibonacci polynomial Fn(x) defined recurrently by Fn+1(x) = xFn(x)+Fn−1(x), with F0(x) = 0, F1(0) = 1, for n ≥ 1 is the topic of wide interest for many years. In this article, generalized Fibonacci polynomials Fbn+1(x) and Lbn+1(x) are introduced and
A. D. Godase, M. B. Dhakne
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Some results on circulant and skew circulant type matrices with k-Fibonacci sequences
, 2017 Ying Zhang
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Positive Integer Solutions of Some Pell Equations via Generalized Bi-Periodic Fibonacci and Generalized Bi-Periodic Lucas Sequences [PDF]
, 2022 S. Sriram, P Veeramallan
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