Some Properties of the (p,q)-Fibonacci and (p,q)-Lucas Polynomials

被引：37

作者：

Lee, GwangYeon ^{[1
]}

Asci, Mustafa ^{[2
]}

机构：

[1] Hanseo Univ, Dept Math, Seosan 356706, Chungnam, South Korea

[2] Pamukkale Univ, Sci & Arts Fac, Dept Math, Denizli, Turkey

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

LINEAR ALGEBRA; FIBONACCI;

D O I：

10.1155/2012/264842

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials called (p,q)-Fibonacci polynomials. We obtain combinatorial identities and by using Riordanmethodwe get factorizations of Pascal matrix involving (p,q)-Fibonacci polynomials.

引用

页数：18

共 50 条

[1] (p, q)-FIBONACCI AND (p, q)-LUCAS SUMS BY THE DERIVATIVES OF SOME POLYNOMIALS
Bitim, B. Demirturk
Topal, N.
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1733 - 1741
[2] On (p, q)-Fibonacci and (p, q)-Lucas Polynomials Associated with Changhee Numbers and Their Properties
Zhang, Chuanjun
Khan, Waseem Ahmad
Kizilates, Can
SYMMETRY-BASEL, 2023, 15 (04):
[3] Some new results for the (p,q)-Fibonacci and Lucas polynomials
Jingzhe Wang
Advances in Difference Equations, 2014
[4] ON THE PROPERTIES OF (p, q)-FIBONACCI AND (p, q)-LUCAS QUATERNIONS
Patel, Bijan Kumar
Ray, Prasanta Kumar
MATHEMATICAL REPORTS, 2019, 21 (01): : 15 - 25
[5] Some properties of (p, q)-Fibonacci-like and (p, q)-Lucas numbers
Thongkam, Boonyen
Butsuwan, Khuanphirom
Bunya, Phonpriya
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2020, 26 (01) : 216 - 224
[6] SOME RESULTS FOR (p, q)-FIBONACCI NUMBER, (p, q)-LUCAS NUMBER AND (p, q)-FIBONACCI-LIKE NUMBER
Suvarnamani, Alongkot
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2018, 40 (04): : 449 - 459
[7] On Generalized Bivariate (p,q)-Bernoulli-Fibonacci Polynomials and Generalized Bivariate (p,q)-Bernoulli-Lucas Polynomials
Guan, Hao
Khan, Waseem Ahmad
Kizilates, Can
SYMMETRY-BASEL, 2023, 15 (04):
[8] SOME IDENTITIES INVOLVING (p, q)-FIBONACCI AND LUCAS QUATERNIONS
Cerda-Morales, Gamaliel
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2020, 69 (02): : 1104 - 1110
[9] Some results on convolved (p, q)-Fibonacci polynomials
Wang, Weiping
Wang, Hui
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2015, 26 (05) : 340 - 356
[10] Some Properties of (p, q) - Lucas Number
Suvarnamani, Alongkot
KYUNGPOOK MATHEMATICAL JOURNAL, 2016, 56 (02): : 367 - 370

← 1 2 3 4 5 →