Results 51 to 60 of about 125,910 (166)
A NOTE ON FIBONACCI-HERMITE POLYNOMIALS
We first review and analyze the Golden integral and its definitions and some properties. Then we introduce a new generalization of the Hermite polynomials via the Golden exponential function (called Fibonacci-Hermite polynomials) and investigate several ...
Acikgoz, Mehmet, Duran, Uğur
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On k-Fibonacci sequences and polynomials and their derivatives
, 2009 The k-Fibonacci polynomials are the natural extension of the k-Fibonacci numbers and many of their properties admit a straightforward proof. Here in particular, we present the derivatives of these polynomials in the form of convolution of k-Fibonacci ...
Falcón, Sergio, Plaza, Ángel
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady +4 more
wiley +1 more source
A note on h(x)-Fibonacci Octonion Polynomials [PDF]
, 2018 WOS: 000438888700013In this paper, we consider h(x)-Fibonacci octonion polynomials which is defined by h(x)-Fibonacci octonion polynomials. We derive algebraic identities involving h(x)-Fibonacci octonion polynomials.
Özkoç, Arzu
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Bernoulli-Fibonacci Polynomials
, 2020 By using definition of Golden derivative, corresponding Golden exponential function and Fibonomial coefficients, we introduce generating functions for Bernoulli-Fibonacci polynomials and related numbers. Properties of these polynomials and numbers are studied in parallel with usual Bernoulli counterparts.
Pashaev, Oktay K., Ozvatan, Merve
openaire +2 more sources
There are no multiply-perfect Fibonacci numbers [PDF]
, 2011 Here, we show that no Fibonacci number (larger than 1) divides the sum of its ...
Lewis, Ryan H. +11 more
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, 2023 Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric properties, have been studied in the literature with the help of generating functions and their functional equations.
Can Kızılateş +2 more
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Generalized Bivariate Fibonacci and Lucas Polynomials By Tridiagonal Matrices
In this paper, we present certain tridiagonal matrices associated with generalized bivariate Fibonacci and Lucas polynomials and investigate the relationships between these matrices and polynomials.
Yasemin TASYURDU, Beyza AYDAN
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GENERATING FUNCTIONS FOR THE GENERALIZED BIVARIATE FIBONACCI AND LUCAS POLYNOMIALS
, 2015 The main object of this study is to derive various families of multilinear and multilateral generating functions for the generalized bivariate Fibonacci and Lucas polynomials.
TUĞLU, NAİM, Erkus-Duman, ESRA
core
Unoriented knot polynomials of torus links as Fibonacci-type polynomials
, 2019 The focus of this paper is to study the two-variable Kauffman polynomials [Formula: see text] and [Formula: see text], and the one-variable BLM/Ho polynomial [Formula: see text] of [Formula: see text]-torus link as the Fibonacci-type polynomials and to ...
Kemal Taşköprü +3 more
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