Results 91 to 100 of about 1,507 (185)

Generalization of the Distance Fibonacci Sequences

Axioms
In this study, we introduced a generalization of distance Fibonacci sequences and investigate some of its basic properties. We then proposed a generalization of distance Fibonacci sequences for negative integers and investigated some basic properties.
Nur Seyma Yilmaz, Andrzej Wloch, Engin Özkan   +2 more
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Some Fibonacci-Related Sequences

The Fibonacci Quarterly
We discuss an interesting sequence defined recursively; namely, sequence A105774 from the On-Line Encyclopedia of Integer Sequences, and study some of its properties. Our main tools are Fibonacci representation, finite automata, and the Walnut theorem-prover. We also prove two new results about synchronized sequences.
Benoit Cloitre, Jeffrey Shallit
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Generalized Fibonacci Sequences Generated from a $k$--Fibonacci Sequence

Journal of Mathematics Research, 2012
In this paper we will prove that all $k$--Fibonacci sequence contains generalized Fibonacci sequences and we will indicate the form of obtain them.
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Investigation of p-Summable Fibonacci-Type Difference Sequence Spaces and Their Duals via Modulus Functions

Journal of Mathematics
In this paper, we introduce new Fibonacci-type difference sequence spaces defined by a modulus function f, specifically focusing on the sequence space lGu,v,f,p, where p=pk is an arbitrary bounded sequence of positive real numbers.
Sunil K. Sharma, Ravi Kumar, Faruk Özger, Merve Ersoy   +3 more
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On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces

Communications in Advanced Mathematical Sciences
In 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
doaj   +1 more source

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
doaj  

Weakly unconditionally Cauchy series and Fibonacci sequence spaces. [PDF]

J Inequal Appl, 2017
Kama R, Altay B.
europepmc   +1 more source

The intersection of Fibonacci sequences.

Michigan Mathematical Journal, 1962
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A novel Fibonacci sequence-based motion profile. [PDF]

Sci Prog
Yao WS, Tseng YC, Hu JH.
europepmc   +1 more source

Hidden time-patterns in cyclic human movements: a matter of temporal Fibonacci sequence generation and harmonization. [PDF]

Front Hum Neurosci
Verrelli CM, Caprioli L, Iosa M.
europepmc   +1 more source