Results 81 to 90 of about 302 (175)

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

A classification of infinite staircases for Hirzebruch surfaces

open access: yesJournal of Topology, Volume 18, Issue 1, March 2025.
Abstract The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four‐ball (or equivalently, the complex projective plane) by McDuff and ...
Nicki Magill   +2 more
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  

Strong bounds and exact solutions to the minimum broadcast time problem

open access: yesInternational Transactions in Operational Research, Volume 32, Issue 1, Page 314-352, January 2025.
Abstract Given a graph and a subset of its nodes, referred to as source nodes, the minimum broadcast time problem asks for the minimum number of steps in which a signal can be transmitted from the sources to all other nodes in the graph. In each step, the sources and the nodes that already have received the signal can forward it to at most one of their
Marika Ivanova   +2 more
wiley   +1 more source

Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model

open access: yesAdvances in Mathematical Physics, Volume 2025, Issue 1, 2025.
Various nonlinear evolution equations reveal the inner characteristics of numerous real‐life complex phenomena. Using the extended fractional Riccati expansion method, we investigate optical soliton solutions of the fractional Klein–Gordon equation within this modified framework.
Md. Abde Mannaf   +8 more
wiley   +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

GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS

open access: yesJournal of Amasya University the Institute of Sciences and Technology, 2020
In this paper, we present generalized identities of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.
Jaya Bhandari   +2 more
doaj  

On the sequences of $(q,k)$-generalized Fibonacci numbers [PDF]

open access: yesMathematica Bohemica
We consider a new family of recurrence sequences, the $(q,k)$-generalized Fibonacci numbers. These sequences naturally extend the well-known sequences of $k$-generalized Fibonacci numbers and generalized $k$-order Pell numbers.
Jean Lelis   +3 more
doaj   +1 more source

Numerical Solutions for Nonlinear Ordinary and Fractional Duffing Equations Using Combined Fibonacci–Lucas Polynomials

open access: yesAxioms
Two nonlinear Duffing equations are numerically treated in this article. The nonlinear fractional-order Duffing equations and the second-order nonlinear Duffing equations are handled.
Waleed Mohamed Abd-Elhameed   +3 more
doaj   +1 more source

Home - About - Disclaimer - Privacy