Binomials transformation formulae for scaled Fibonacci numbers
Open Mathematics, 2017 The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined
Hetmaniok Edyta +2 more
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Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial [PDF]
Sahand Communications in Mathematical AnalysisThis 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
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Generalized Fibonacci-Lucas Polynomials
International Journal of Advanced Mathematical Sciences, 2013 Various sequences of polynomials by the names of Fibonacci and Lucas polynomials occur in the literature over a century. The Fibonacci polynomials and Lucas polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, Generalized Fibonacci-Lucas Polynomials are introduced and defined by the recurrence relation
Mamta Singh +3 more
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The binomial sums for four types of polynomials involving floor and ceiling functions
Electronic Research ArchiveSeveral 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
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A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected CD4+T cells model. [PDF]
Eur Phys J Plus, 2023 Vivek, Kumar M, Mishra SN.
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Sums of powers of Fibonacci polynomials [PDF]
Proceedings - Mathematical Sciences, 2009 Using the explicit (Binet) formula for the Fibonacci polynomials, a summation formula for powers of Fibonacci polynomials is derived straightforwardly, which generalizes a recent result for squares that appeared in Proc. Ind. Acad. Sci. (Math. Sci.) 118 (2008) 27–41.
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GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS
Journal 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
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On the finite reciprocal sums of Fibonacci and Lucas polynomials
AIMS 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
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Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type
Sakarya 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
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Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]
Heliyon, 2023 Izadi M, Singh J, Noeiaghdam S.
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