Results 91 to 100 of about 12,719 (235)
Bernoulli F-polynomials and Fibo–Bernoulli matrices
In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
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The matrices of Fibonacci numbers (called windows) possess some unusual properties which are not shared by normal matrices, such as commutativity under multiplication and +1 for all determinants.
M.C. Er
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Variants of the Filbert Matrix
A variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar manner.
Kılıç, Emrah, Prodinger, Helmut
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FIBONACCI TILINGS IN FASHION DESIGN [PDF]
The Fibonacci sequence is a symbol of beauty and harmony and by this reason geometrical objects in its proportions are used in the design. There are some versions of Fibonacci series tiling, which are constructed with equilateral geometrical figures ...
KAZLACHEVA Zlatina
doaj
On Fibonacci Functions with Period
A function is said to be a Fibonacci function if for all . In 2012, some properties on the Fibonacci functions were presented. In this paper, for any positive integer , a function is said to be a Fibonacci function with period if for all ; we ...
Banyat Sroysang
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Convoluted convolved Fibonacci numbers
The convolved Fibonacci numbers F (r) In this note we consider some related numbers that can be expressed in terms of convolved Fibonacci numbers. These numbers appear in the numerical evaluation of a constant arising in the study of the average density ...
Numbers Fibonacci +3 more
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Closed forms for finite sums of weighted products of generalized Fibonacci numbers [PDF]
In this paper, we present closed forms for certain finite sums of weighted products of generalized Fibonacci numbers. Indeed, we present seven multi-parameter families of such finite sums, all of which we believe to be new. In each of these families, the
Melham, RS
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SOME COMBINATORIAL ASPECTS OF BI-PERIODIC INCOMPLETE HORADAM SEQUENCES
20th International Conference on Fibonacci Numbers and Their Applications -- JUL 25-29, 2022 -- Univ Sarajevo, BOSNIA & HERCEGWe have recently introduced the bi-periodic incomplete Horadam numbers as a generalization of incomplete Horadam numbers, and ...
Tan, Elif, Belkhir, Amine, Dagli, Mehmet
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Exploring Generalized $2^k$-Fibonacci Sequence: A New Family of the Fibonacci Sequence
The focus of this paper is to study the $2^k$–Fibonacci sequence, which is defined for all integers $2^k$, and its connections with both the Fibonacci and the Fibonacci-Lucas sequences.
Elis Gardel Costa Mesquista +2 more
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Approximating the Fibonacci Sequence
See the abstract in the attached pdf.
Tom Edgar +2 more
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