On (p,q)–Fibonacci and (p,q)–Lucas Polynomials Associated with Changhee Numbers and Their Properties [PDF]
Chuanjun Zhang +2 more
openalex +1 more source
Properties of the Ammann–Beenker Tiling and its Square Periodic Approximants
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
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]
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
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
A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected CD4+T cells model. [PDF]
Vivek, Kumar M, Mishra SN.
europepmc +1 more source
Orthogonal Polynomials on the Unit Circle with Fibonacci Verblunsky Coefficients, II. Applications [PDF]
David Damanik +2 more
openalex +1 more source
On the finite reciprocal sums of Fibonacci and Lucas polynomials
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
SOME ANALYTICAL AND NUMERICAL RESULTS FOR THE ZEROS OF A CLASS OF FIBONACCI-LIKE POLYNOMIALS
Amal Al-Saket
openalex +1 more source
Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type
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

