Results 101 to 110 of about 24,784 (197)

Generalized Fibonacci Sequences and Binet-Fibonacci Curves

open access: yes, 2017
We have studied several generalizations of Fibonacci sequences as the sequences with arbitrary initial values, the addition of two and more Fibonacci subsequences and Fibonacci polynomials with arbitrary bases. For Fibonacci numbers with congruent indices we derived general formula in terms of generalized Fibonacci polynomials and Lucas numbers.
Özvatan, Merve, Pashaev, Oktay K.
openaire   +2 more sources

On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces

open access: yesCommunications 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

open access: yesJournal 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  

Mode localization in chiral periodic approximants of Fibonacci magnonic superlattices. [PDF]

open access: yesSci Rep
Flores-Farías J   +6 more
europepmc   +1 more source

Focusing performance of Fibonacci tiling-based zone plates. [PDF]

open access: yesSci Rep
Garmendía-Martínez A   +5 more
europepmc   +1 more source

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