Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Can Kızılateş"'
Publikováno v:
Axioms, Vol 13, Iss 10, p 677 (2024)
In this paper, by using q-integers and higher-order generalized Fibonacci numbers, we define the higher-order generalized Fibonacci quaternions with q-integer components. We give some special cases of these newly established quaternions. This article
Externí odkaz:
https://doaj.org/article/a4c964c66c5941f4b5e4f4bf6c6cbc71
Publikováno v:
Axioms, Vol 13, Iss 6, p 348 (2024)
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials. By applying a partial derivative operator to the generating functions
Externí odkaz:
https://doaj.org/article/4c0eb84c0f9245d6a1d97b39d6d02315
Publikováno v:
Mathematics, Vol 12, Iss 8, p 1156 (2024)
This paper presents a comprehensive survey of the generalization of hybrid numbers and hybrid polynomials, particularly in the fields of mathematics and physics. In this paper, by using higher-order generalized Fibonacci polynomials, we introduce hig
Externí odkaz:
https://doaj.org/article/1b652db1211a4df39f3e8a48a5e799ee
Publikováno v:
Mathematics, Vol 12, Iss 6, p 800 (2024)
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and
Externí odkaz:
https://doaj.org/article/489bca247ba64620924c46c4e0678635
Autor:
Can Kızılateş, Halit Öztürk
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 8386-8402 (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
Externí odkaz:
https://doaj.org/article/9aea59d70466453987ab81f3f490ed35
Autor:
Noor Alam, Waseem Ahmad Khan, Can Kızılateş, Sofian Obeidat, Cheon Seoung Ryoo, Nabawia Shaban Diab
Publikováno v:
Symmetry, Vol 15, Iss 7, p 1358 (2023)
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 and their functional equations. In this study, we define Frobenius
Externí odkaz:
https://doaj.org/article/51ae9dbfd28147118bbdd07f5f795285
On (p,q)–Fibonacci and (p,q)–Lucas Polynomials Associated with Changhee Numbers and Their Properties
Publikováno v:
Symmetry, Vol 15, Iss 4, p 851 (2023)
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 and their functional equations. In this paper, using the (p,q)–Fi
Externí odkaz:
https://doaj.org/article/65ad592f6664418aa31a7352b3d4bb2a
Publikováno v:
Symmetry, Vol 15, Iss 4, p 943 (2023)
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 and their functional equations. In this paper, we define the gener
Externí odkaz:
https://doaj.org/article/a47afbdaf7384528bed646af3a7f6f19
Publikováno v:
Mathematics, Vol 10, Iss 10, p 1719 (2022)
In this paper, with the help of the finite operators and Fibonacci numbers, we define a new family of quaternions whose components are the Fibonacci finite operator numbers. We also provide some properties of these types of quaternions. Moreover, we
Externí odkaz:
https://doaj.org/article/5e93cc69dada49ada3e1a43012a1b940
Autor:
Can Kızılateş, Naim Tuglu
Publikováno v:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-15 (2016)
Abstract In this paper, we define a geometric circulant matrix whose entries are the generalized Fibonacci numbers and hyperharmonic Fibonacci numbers. Then we give upper and lower bounds for the spectral norms of these matrices.
Externí odkaz:
https://doaj.org/article/8fd0fb4c691b4be68dbfe42f765d0447