An algorithm for complex factorization of the bi-periodic Fibonacci and Lucas polynomials
In this paper, we consider the factorization of generalized sequences, by employing a method based on trigonometric identities. The new method is of reduced complexity and represents an improvement compared to existing results. We establish a connection between the bi-periodic Fibonacci and Lucas po...
| 發表在: | Notes on Number Theory and Discrete Mathematics |
|---|---|
| Main Authors: | Baijuan Shi, Can Kızılateş |
| 格式: | Article |
| 語言: | 英语 |
| 出版: |
"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences
2025-05-01
|
| 主題: | |
| 在線閱讀: | https://nntdm.net/papers/nntdm-31/NNTDM-31-2-269-279.pdf |
相似書籍
Some identities of the generalized bi-periodic Fibonacci and Lucas polynomials
由: Tingting Du, et al.
出版: (2024-02-01)
由: Tingting Du, et al.
出版: (2024-02-01)
On the power sums problem of bi-periodic Fibonacci and Lucas polynomials
由: Tingting Du, et al.
出版: (2024-02-01)
由: Tingting Du, et al.
出版: (2024-02-01)
Bi-Periodic (p,q)-Fibonacci and Bi-Periodic (p,q)-Lucas Sequences
由: Yasemin Taşyurdu, et al.
出版: (2023-02-01)
由: Yasemin Taşyurdu, et al.
出版: (2023-02-01)
ON THE ZEROS OF THE DERIVATIVES OF FIBONACCI AND LUCAS POLYNOMIALS
由: Nihal Yılmaz Özgür, et al.
出版: (2015-08-01)
由: Nihal Yılmaz Özgür, et al.
出版: (2015-08-01)
Relations between Generalized Bi-Periodic Fibonacci and Lucas Sequences
由: Younseok Choo
出版: (2020-09-01)
由: Younseok Choo
出版: (2020-09-01)
On Geometric Circulant Matrices Whose Entries are Bi-Periodic Fibonacci and Bi-Periodic Lucas Numbers
由: Emrah Polatlı
出版: (2020-09-01)
由: Emrah Polatlı
出版: (2020-09-01)
Some new results for the generalized bivariate Fibonacci and Lucas polynomials
由: Yılmaz Nazmıye
出版: (2024-01-01)
由: Yılmaz Nazmıye
出版: (2024-01-01)
GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS
由: Jaya Bhandari, et al.
出版: (2020-12-01)
由: Jaya Bhandari, et al.
出版: (2020-12-01)
VECTOR APPROACH TO A NEW GENERALIZATION OF FIBONACCI POLYNOMIAL
由: Ashok Dnyandeo Godase, et al.
出版: (2017-07-01)
由: Ashok Dnyandeo Godase, et al.
出版: (2017-07-01)
Fibonacci and Lucas Polynomials in n-gon
由: Kuloğlu Bahar, et al.
出版: (2023-03-01)
由: Kuloğlu Bahar, et al.
出版: (2023-03-01)
Hybrid convolutions on Pell and Lucas polynomials
由: Dongwei Guo, et al.
出版: (2021-07-01)
由: Dongwei Guo, et al.
出版: (2021-07-01)
Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
由: Dongwei Guo, et al.
出版: (2022-07-01)
由: Dongwei Guo, et al.
出版: (2022-07-01)
New expressions for certain polynomials combining Fibonacci and Lucas polynomials
由: Waleed Mohamed Abd-Elhameed, et al.
出版: (2025-02-01)
由: Waleed Mohamed Abd-Elhameed, et al.
出版: (2025-02-01)
On the Lucas polynomials and some of their new identities
由: Zhang Jin
出版: (2018-04-01)
由: Zhang Jin
出版: (2018-04-01)
Melham's sums for some Lucas polynomial sequences
由: Chan-Liang Chung, et al.
出版: (2024-05-01)
由: Chan-Liang Chung, et al.
出版: (2024-05-01)
Numerical Solutions for Nonlinear Ordinary and Fractional Duffing Equations Using Combined Fibonacci–Lucas Polynomials
由: Waleed Mohamed Abd-Elhameed, et al.
出版: (2025-04-01)
由: Waleed Mohamed Abd-Elhameed, et al.
出版: (2025-04-01)
Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials
由: Arzu Özkoç Öztürk, et al.
出版: (2018-03-01)
由: Arzu Özkoç Öztürk, et al.
出版: (2018-03-01)
A MATRIX REPRESENTATION OF A GENERALIZED FIBONACCI POLYNOMIAL
由: A. D. Godase, et al.
出版: (2017-11-01)
由: A. D. Godase, et al.
出版: (2017-11-01)
Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions Linked with Lucas-Balancing Polynomials
由: Sondekola Rudra Swamy, et al.
出版: (2024-04-01)
由: Sondekola Rudra Swamy, et al.
出版: (2024-04-01)
On the Reciprocal Sums of Products of Two Generalized Bi-Periodic Fibonacci Numbers
由: Younseok Choo
出版: (2021-01-01)
由: Younseok Choo
出版: (2021-01-01)
Blocks within the period of Lucas sequence
由: Rima P. Patel, et al.
出版: (2021-12-01)
由: Rima P. Patel, et al.
出版: (2021-12-01)
A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers
由: Şahsene Altınkaya, et al.
出版: (2019-02-01)
由: Şahsene Altınkaya, et al.
出版: (2019-02-01)
Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives
由: Jugal Kishore, et al.
出版: (2023-04-01)
由: Jugal Kishore, et al.
出版: (2023-04-01)
Fibonacci sums and divisibility properties
由: Kunle Adegoke, et al.
出版: (2023-12-01)
由: Kunle Adegoke, et al.
出版: (2023-12-01)
Bounding coefficients for certain subclasses of bi-univalent functions related to Lucas-Balancing polynomials
由: Abdulmtalb Hussen, et al.
出版: (2024-05-01)
由: Abdulmtalb Hussen, et al.
出版: (2024-05-01)
On a family of bi-univalent functions related to the Fibonacci numbers
由: Akgül Arzu
出版: (2022-01-01)
由: Akgül Arzu
出版: (2022-01-01)
Chebyshev polynomials and their some interesting applications
由: Chen Li, et al.
出版: (2017-09-01)
由: Chen Li, et al.
出版: (2017-09-01)
Some fundamental Fibonacci number congruences
由: Anthony G. Shannon, et al.
出版: (2025-03-01)
由: Anthony G. Shannon, et al.
出版: (2025-03-01)
On a Matrix Formulation of the Sequence of Bi-Periodic Fibonacci Numbers
由: Mustapha Rachidi, et al.
出版: (2024-08-01)
由: Mustapha Rachidi, et al.
出版: (2024-08-01)
Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials
由: Abdulmtalb Hussen, et al.
出版: (2023-12-01)
由: Abdulmtalb Hussen, et al.
出版: (2023-12-01)
Generalized Pauli Fibonacci Polynomial Quaternions
由: Bahadır Yılmaz, et al.
出版: (2025-06-01)
由: Bahadır Yılmaz, et al.
出版: (2025-06-01)
Numerical solution of one- and two-dimensional time-fractional Burgers equation via Lucas polynomials coupled with Finite difference method
由: Ihteram Ali, et al.
出版: (2022-08-01)
由: Ihteram Ali, et al.
出版: (2022-08-01)
The relations between bi-periodic jacobsthal and bi-periodic jacobsthal lucas sequence
由: Şükran Uygun
出版: (2021-06-01)
由: Şükran Uygun
出版: (2021-06-01)
Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials
由: Maryam Salem Alatawi, et al.
出版: (2024-03-01)
由: Maryam Salem Alatawi, et al.
出版: (2024-03-01)
A Combinatorial Proof of a Result on Generalized Lucas Polynomials
由: Laugier Alexandre, et al.
出版: (2016-09-01)
由: Laugier Alexandre, et al.
出版: (2016-09-01)
Bi-Univalent Functions of Complex Order Defined by Hohlov Operator Associated with $(\mathcal {P,Q})-$Lucas Polynomial
由: Elumalai Muthaiyan
出版: (2024-01-01)
由: Elumalai Muthaiyan
出版: (2024-01-01)
On Higher-Order Generalized Fibonacci Hybrinomials: New Properties, Recurrence Relations and Matrix Representations
由: Can Kızılateş, et al.
出版: (2024-04-01)
由: Can Kızılateş, et al.
出版: (2024-04-01)
Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial
由: Rumeysa Öztürk, et al.
出版: (2024-07-01)
由: Rumeysa Öztürk, et al.
出版: (2024-07-01)
Generalization of the 2-Fibonacci sequences and their Binet formula
由: Timmy Ma, et al.
出版: (2024-02-01)
由: Timmy Ma, et al.
出版: (2024-02-01)
On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials
由: Hao Guan, et al.
出版: (2024-05-01)
由: Hao Guan, et al.
出版: (2024-05-01)
相似書籍
-
Some identities of the generalized bi-periodic Fibonacci and Lucas polynomials
由: Tingting Du, et al.
出版: (2024-02-01) -
On the power sums problem of bi-periodic Fibonacci and Lucas polynomials
由: Tingting Du, et al.
出版: (2024-02-01) -
Bi-Periodic (p,q)-Fibonacci and Bi-Periodic (p,q)-Lucas Sequences
由: Yasemin Taşyurdu, et al.
出版: (2023-02-01) -
ON THE ZEROS OF THE DERIVATIVES OF FIBONACCI AND LUCAS POLYNOMIALS
由: Nihal Yılmaz Özgür, et al.
出版: (2015-08-01) -
Relations between Generalized Bi-Periodic Fibonacci and Lucas Sequences
由: Younseok Choo
出版: (2020-09-01)
