Results 41 to 50 of about 254,888 (94)
, 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
Naim TUGLU +3 more
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Bivariate Fibonacci and Lucas Like Polynomials [PDF]
, 2016 In this article, we study the generalized bivariate Fibonacci (GBF) and generalized bivariate Lucas (GBL) polynomials from specifying p(x,y) and q(x,y), classical bivariate Fibonacci and Lucas polynomials ((p(x,y)=x and q(x,y)=y).
Tuncez, Serife, Kocer, E. Gokcen
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Bivariate biperiodic fibonacci hybrinomials
, 2022 The Hybrid numbers are generalization of complex, hyperbolic and dual numbers. In recent years, studies related with Hybrid numbers have increased significantly.
Köme, Sure, Kumtas, Zeynep
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2-Fibonacci polynomials in the family of Fibonacci numbers [PDF]
, 2018 In the present study, we define new 2-Fibonacci polynomials by using terms of a new family of Fibonacci numbers given in [4]. We show that there is a relationship between the coefficient of the 2-Fibonacci polynomials and Pascal's triangle.
Tastan, Merve +2 more
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Generalized bivariate Fibonacci polynomials
, 2002 We define generalized bivariate polynomials, from which upon specification of initial conditions the bivariate Fibonacci and Lucas polynomials are obtained. Using essentially a matrix approach we derive identities and inequalities that in most cases generalize known results.
openaire +2 more sources
, 2023 <abstract><p>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 ...
Halit Öztürk, Can Kızılateş
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On Quaternion-gaussian Fibonacci Polynomials
, 2023 In this paper, we define Gaussian Fibonacci quaternion polynomials and Gaussian Lucas quaternion polynomials.
Yağmur, Tülay
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On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives [PDF]
, 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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Distance Fibonacci Polynomials by Graph Methods
, 2021 In this paper we introduce and study a new generalization of Fibonacci polynomials which generalize Fibonacci, Jacobsthal and Narayana numbers, simultaneously. We give a graph interpretation of these polynomials and we obtain a binomial formula for them.
Dominik Strzałka +2 more
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Bi-Periodic Generalized Fibonacci Polynomials
, 2022 In this paper, we define bi-periodic generalized Fibonacci polynomials, which generalize Fi- bonacci, Pell, Jacobsthal, Fermat, Chebyshev polynomials and the other well-known polynomials. We obtain generating functions, Binet formulas and some properties
Yasemin Tasyurdu
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