Some properties of Leonardo numbers

Y Alp, EG Koçer - Konuralp Journal of Mathematics, 2021 - dergipark.org.tr
In this paper, we consider the Leonardo numbers which is defined by Catarino and Borges.
Using Binet's formula of this sequence, we obtain new identities of the Leonardo numbers …

[PDF][PDF] On the properties of k-Fibonacci numbers

C Bolat, H Köse - Int. J. Contemp. Math. Sciences, 2010 - m-hikari.com
On the Properties of k-Fibonacci Numbers 1 Introduction Page 1 Int. J. Contemp. Math.
Sciences, Vol. 5, 2010, no. 22, 1097 - 1105 On the Properties of k-Fibonacci Numbers Cennet …

Bivariate fibonacci like p–polynomials

N Tuglu, EG Kocer, A Stakhov - Applied Mathematics and Computation, 2011 - Elsevier
In this article, we study the bivariate Fibonacci and Lucas p–polynomials (p⩾ 0 is integer)
from which, specifying x, y and p, bivariate Fibonacci and Lucas polynomials, bivariate Pell …

ON LEONARDO p-NUMBERS.

E Tan, HH Leung - Integers: Electronic Journal of …, 2023 - search.ebscohost.com
In this paper, we introduce a new generalization of Leonardo numbers, which are socalled
Leonardo p-numbers. We investigate some basic properties of these numbers. We also …

A note on Horadam hybrinomials

C Kızılateş - Fundamental Journal of mathematics and Applications, 2022 - dergipark.org.tr
This paper ensures an extensive survey of the generalization of the various hybrid numbers
and hybrid polynomials especially as part of its enhancing importance in the disciplines of …

On (p,q)–Fibonacci and (p,q)–Lucas Polynomials Associated with Changhee Numbers and Their Properties

C Zhang, WA Khan, C Kızılateş - Symmetry, 2023 - mdpi.com
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 …

New families of Horadam numbers associated with finite operators and their applications

C Kızılateş - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
In this paper, by applying finite operator to the Horadam sequence, we define the Horadam
finite operator sequences. We not only give some special cases of this new sequences but …

On Generalized Bivariate (p,q)-Bernoulli–Fibonacci Polynomials and Generalized Bivariate (p,q)-Bernoulli–Lucas Polynomials

H Guan, WA Khan, C Kızılateş - Symmetry, 2023 - mdpi.com
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 …

On δ–β-continuous functions

E Hatir, T Noiri - Chaos, Solitons & Fractals, 2009 - Elsevier
In Hatir and Noiri [Hatir E, Noiri T. Decompositions of continuity and complete continuity.
Acta Math Hungary 113 (4); 2006: 281–287], δ–β-continuity has given to obtain a …

[PDF][PDF] A new generalization of Fibonacci and Lucas p-numbers

Y Yazlik, C Köme… - Journal of computational …, 2018 - eudoxuspress.com
In this paper, we define a new generalization of the Fibonacci and Lucas p− numbers.
Further, we build up the tree diagrams for generalized Fibonacci and Lucas p− sequence …