Results 21 to 30 of about 916 (205)

Some Algebraic Aspects of MorseCode Sequences [PDF]

Discrete Mathematics & Theoretical Computer Science, 2003
Morse code sequences are very useful to give combinatorial interpretations of various properties of Fibonacci numbers. In this note we study some algebraic and combinatorial aspects of Morse code sequences and obtain several q-analogues of Fibonacci
Johann Cigler
doaj   +2 more sources

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

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

, 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

Bernoulli F-polynomials and Fibo–Bernoulli matrices

Advances in Difference Equations, 2019
In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
doaj   +1 more source

Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals

Mathematics, 2022
The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2F1(z) are included in all connection coefficients for a specific z.
Waleed Mohamed Abd-Elhameed, Andreas N. Philippou, Nasr Anwer Zeyada   +2 more
doaj   +1 more source

Irreducibility of generalized Fibonacci polynomials

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

A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials

Indian Journal of Pure and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
TUĞLU, NAİM, Kızılateş, Can, Kuş, Semra   +2 more
openaire   +4 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

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

Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials

Universal Journal of Mathematics and Applications, 2018
We investigate the $(p,q)-$Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the $(p,q)-$ Fibonacci and Lucas polynomials. Also for present some results involving these octonion polynomials, we obtain
Arzu Özkoç Öztürk, Ayhan Porsuk
doaj   +1 more source