Results 221 to 230 of about 454,219 (256)

The Irregularity Polynomials of Fibonacci and Lucas cubes

Bulletin of the Malaysian Mathematical Sciences Society, 2020
Irregularity of a graph is an invariant measuring how much the graph differs from a regular graph. Albertson index is one measure of irregularity, defined as the sum of | deg(u) - deg(v) | over all edges uv of the graph. Motivated by a recent result on the irregularity of Fibonacci cubes, we consider irregularity polynomials and determine them for ...
Ömer Eğecioğlu, Elif Saygı, Zülfükar Saygı   +2 more
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Fibonacci Polynomials their Properties and Applications

Zeitschrift für Analysis und ihre Anwendungen, 1996
The paper deals with polynomials characterized by coefficients determined by successive elements of the Fibonacci sequence. Basic properties and applications of the Fibonacci polynomials are demonstrated. The index of concentration of Fibonacci polynomials at k -th degree, locations of ...
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Catalan Identities for Generalized Fibonacci Polynomials

The Fibonacci quarterly
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Maribel Diaz Noguera, Rigoberto Flórez, José L. Ramírez, Martha Romero Rojas   +3 more
semanticscholar   +1 more source

On the characteristic polynomials of Fibonacci chains [PDF]

Journal of Physics A: Mathematical and General, 1992
Special diatomic linear chains with elastic nearest-neighbour interaction and the two masses distributed according to the binary Fibonacci sequence are studied.
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Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

Communications in Algebra, 2019
In this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials. Then the Lucas polynomials and their relationship are generalized in the paper.
E. Özkan, İpek Altun
semanticscholar   +1 more source

Deformable Derivative of Fibonacci Polynomials

2021
The Fibonacci sequence is the most spectacular subject in mathematics, and the Fibonacci polynomials are generalizations of Fibonacci numbers made by various authors. The main objective of this research paper is to construct the relation between deformable derivative and Fibonacci polynomials.
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Fibonacci, Chebyshev, and Orthogonal Polynomials

The American Mathematical Monthly, 2005
(2005). Fibonacci, Chebyshev, and Orthogonal Polynomials. The American Mathematical Monthly: Vol. 112, No. 7, pp. 612-630.
Kathy Driver, Alan F. Beardon, Dov Aharonov   +2 more
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An efficient numerical method based on Fibonacci polynomials to solve fractional differential equations

Mathematics and Computers in Simulation, 2023
O. Postavaru
semanticscholar   +1 more source

Bivariate fibonacci like p–polynomials

Applied Mathematics and Computation, 2011
Abstract In this article, we study the bivariate Fibonacci and Lucas p –polynomials ( p  ⩾ 0 is integer) from which, specifying x , y and p , bivariate Fibonacci and Lucas polynomials, bivariate Pell and Pell-Lucas polynomials, Jacobsthal and Jacobsthal–Lucas polynomials, Fibonacci and Lucas p –polynomials, Fibonacci and Lucas p –numbers, Pell
Kocer, E. Gokcen, TUĞLU, NAİM, Stakhov, Alexey   +2 more
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Fibonacci-mandelbrot polynomials and matrices

ACM Communications in Computer Algebra, 2017
We explore a family of polynomials similar to the Mandelbrot polynomials called the Fibonacci-Mandelbrot polynomials defined by q 0 ( z ) = 0, q 1 ( z ) = 1, and q n
Robert M. Corless, Eunice Y. S. Chan
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