Results 81 to 90 of about 962 (220)

Properties of the Ammann–Beenker Tiling and its Square Periodic Approximants

open access: yesIsrael Journal of Chemistry, Volume 64, Issue 10-11, November 2024.
This review article is intended for those seeking to understand the geometrical properties of one well‐known two‐dimensional quasiperiodic tiling, namely the Ammann‐Beenker tiling. This eight‐fold symmetric tiling has been a preferred starting point for studies of electronic properties of quasicrystals, due to its relatively simple structure as ...
Anuradha Jagannathan, Michel Duneau
wiley   +1 more source

ON THE ZEROS OF THE DERIVATIVES OF FIBONACCI AND LUCAS POLYNOMIALS

open access: yesJournal of New Theory, 2015
The purpose of this article is to derive some functions which map the zeros of Fibonacci polynomials to the zeros of Lucas polynomials. Also we find some equations which are satisfied by F 0 n (x) and so L 00 n (x).
Nihal Yılmaz Özgür   +1 more
doaj  

Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial [PDF]

open access: yesSahand Communications in Mathematical Analysis
This article deals with two new subclasses of analytic and bi-univalent functions in the open unit disk, which is defined  by applying subordination principle between analytic functions and the generalized Bivariate Fibonacci polynomials.
Rumeysa Öztürk, İbrahim Aktaş
doaj   +1 more source

The binomial sums for four types of polynomials involving floor and ceiling functions

open access: yesElectronic Research Archive
Several binomial sums are established for the Pell polynomials and the Pell-Lucas polynomials, as well as two types of the Chebyshev polynomials and the Fibonacci-Lucas numbers, which include two special cases proposed by Hideyuki Othsuka in 2024.
Qingjie Chai, Hanyu Wei
doaj   +1 more source

On the finite reciprocal sums of Fibonacci and Lucas polynomials

open access: yesAIMS Mathematics, 2019
In this note, we consider the finite reciprocal sums of Fibonacci and Lucas polynomials and derive some identities involving these sums.
Utkal Keshari Dutta, Prasanta Kumar Ray
doaj   +1 more source

Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The aim of this study is presentan effective and correct technique for solving differential equations ofLane-Emden type as initial value problems. In this work, a numerical method namedas the Fibonacci polynomial approximation method, for the approximate
Musa Çakmak
doaj   +1 more source

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