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

被引：12

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

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 03期

基金：

英国科研创新办公室;

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

页码：2575 / 2586

页数：12

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