Results 21 to 30 of about 125,910 (166)

Apostol Bernoulli-Fibonacci Polynomials, Apostol Euler-Fibonacci Polynomials and Their Generating Functions

, 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, TUGLU, Naim, ERCAN, ELİF, Elif GÜLAL   +3 more
core   +1 more source

On parametric types of Apostol Bernoulli-Fibonacci, Apostol Euler-Fibonacci, and Apostol Genocchi-Fibonacci polynomials via Golden calculus

, 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
core   +1 more source

Hermite polynomials and Fibonacci oscillators [PDF]

Journal of Mathematical Physics, 2019
We compute the (q1, q2)-deformed Hermite polynomials by replacing the quantum harmonic oscillator problem to Fibonacci oscillators. We do this by applying the (q1, q2)-extension of Jackson derivative. The deformed energy spectrum is also found in terms of these parameters. We conclude that the deformation is more effective in higher excited states.
Andre A. Marinho, Francisco A. Brito
openaire   +2 more sources

A Note on Fibonacci-Type Polynomials [PDF]

Integers, 2010
AbstractWe opt to study the convergence of maximal real roots of certain Fibonacci-type polynomials given ...
openaire   +4 more sources

Irreducibility of generalized Fibonacci polynomials

, 2022
Two ...
Flórez, Rigoberto, Saunders, J. C.
openaire   +3 more sources

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
core   +1 more source

A new hybrid generalization of Fibonacci and Fibonacci-Narayana polynomials [PDF]

, 2023
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. The hybrinomials are polynomials which generalize hybrid numbers. In this paper, we introduce and study the distance Fibonacci hybrinomials, i.e.
Bród, Dorota, Szynal-Liana, Anetta
core   +1 more source

Identities for the Generalized Fibonacci Polynomial

Integers, 2017
See the abstract in the attached pdf.
Rigoberto Flórez, Nathan McAnally, Antara Mukherjee   +2 more
openaire   +5 more sources

HOMFLY Polynomials of Torus Links as Generalized Fibonacci Polynomials [PDF]

The Electronic Journal of Combinatorics, 2015
The focus of this paper is to study the HOMFLY polynomial of $(2,n)$-torus link as a generalized Fibonacci polynomial. For this purpose, we first introduce a form of generalized Fibonacci and Lucas polynomials and provide their some fundamental properties.
Taskopru, Kemal, Altintas, Ismet
openaire   +3 more sources

Generalized Fibonacci Polynomials and Fibonomial Coefficients [PDF]

Annals of Combinatorics, 2014
The focus of this paper is the study of generalized Fibonacci polynomials and Fibonomial coefficients. The former are polynomials {n} in variables s and t given by {0} = 0, {1} = 1, and {n} = s{n-1}+t{n-2} for n ge 2. The latter are defined by {n choose k} = {n}!/({k}!{n-k}!) where {n}! = {1}{2}...{n}.
Amdeberhan, Tewodros, Chen, Xi, Moll, Victor H., Sagan, Bruce E.   +3 more
openaire   +2 more sources