Generating functions of binary products of k-Fibonacci and orthogonal polynomials

被引:11
|
作者
Boussayoud, Ali [1 ]
Boughaba, Souhila [1 ]
Kerada, Mohamed [1 ]
Araci, Serkan [2 ]
Acikgoz, Mehmet [3 ]
机构
[1] Mohamed Seddik Ben Yahia Univ, Dept Math, LMAM Lab, Jijel, Algeria
[2] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, TR-27410 Gaziantep, Turkey
[3] Gaziantep Univ, Fac Arts & Sci, Dept Math, TR-27310 Gaziantep, Turkey
关键词
Symmetric functions; Generating functions; k-Fibonacci numbers; k-Pell numbers;
D O I
10.1007/s13398-019-00641-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Pell numbers and Tchebychev polynomials of first and second kind. By making use of the new operator defined in this paper, we give some new generating functions for k-Fibonacci and k-Pell numbers and Fibonacci polynomials.
引用
收藏
页码:2575 / 2586
页数:12
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