Results 1 to 10 of about 454,219 (256)
On Convolved Fibonacci Polynomials
MathematicsThis work delves deeply into convolved Fibonacci polynomials (CFPs) that are considered generalizations of the standard Fibonacci polynomials. We present new formulas for these polynomials. An expression for the repeated integrals of the CFPs in terms of
Waleed Mohamed Abd-Elhameed +2 more
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On Period of the Sequence of Fibonacci Polynomials Modulo [PDF]
Discrete Dynamics in Nature and Society, 2013 It is shown that the sequence obtained by reducing modulo coefficient and exponent of each Fibonacci polynomials term is periodic. Also if is prime, then sequences of Fibonacci polynomial are compared with Wall numbers of Fibonacci sequences according ...
İnci Gültekin, Yasemin Taşyurdu
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On the roots of Fibonacci polynomials
Filomat, 2022 In this paper, we investigate Fibonacci polynomials as complex hyperbolic functions. We examine the roots of these polynomials. Also, we give some exciting identities about images of the roots of Fibonacci polynomials under another member of the ...
Furkan Birol, Özden Koruoğlu
semanticscholar +4 more sources
AIMS Mathematics, 2023 This paper aims to give generating functions for the new family of polynomials, which are called parametric types of the Apostol Bernoulli-Fibonacci, the Apostol Euler-Fibonacci, and the Apostol Genocchi-Fibonacci polynomials by using Golden calculus ...
Can Kızılateş , Halit Öztürk
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On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives [PDF]
Journal of Applied Mathematics, 2014 We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials.
Yang Li
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Elliptic Solutions of Dynamical Lucas Sequences [PDF]
Entropy, 2021 We study two types of dynamical extensions of Lucas sequences and give elliptic solutions for them. The first type concerns a level-dependent (or discrete time-dependent) version involving commuting variables. We show that a nice solution for this system
Michael J. Schlosser, Meesue Yoo
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On Fourier integral transforms for $q$-Fibonacci and $q$-Lucas polynomials [PDF]
, 2012 We study in detail two families of $q$-Fibonacci polynomials and $q$-Lucas polynomials, which are defined by non-conventional three-term recurrences.
Andrews G E +18 more
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Extended Fibonacci numbers and polynomials with probability applications [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers and ...
Demetrios L. Antzoulakos
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Distance Fibonacci Polynomials [PDF]
Symmetry, 2020 In this paper, we introduce a new kind of generalized Fibonacci polynomials in the distance sense. We give a direct formula, a generating function and matrix generators for these polynomials.
U. Bednarz, M. Wołowiec-Musiał
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Turkish Journal of Mathematics and Computer Science, 2023 In this article, the Apostol Bernoulli-Fibonacci polynomials are defined and various properties of Apostol Bernoulli-Fibonacci polynomials are obtained. Furthermore, Apostol Euler-Fibonacci numbers and polynomials are found. In addition, harmonic-based F
Elif Gülal, Naim Tuglu
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