Symmetric Functions for k-Fibonacci Numbers and Orthogonal Polynomials

Khadidja Boubellouta; Ali Boussayoud; Mohamed Kerada

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Symmetric Functions for k-Fibonacci Numbers and Orthogonal Polynomials

机译：k-斐波那契数和正交多项式的对称函数

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摘要

In this paper, we derive new generating functions for the products of k-Fibonacci numbers, k-Pell numbers, k-Jacobsthal numbers and the Chebychev polynomials of the second kind by making use of useful properties of the symmetric functions.

机译：在本文中，我们利用对称函数的有用性质，推导了k-Fibonacci数，k-Pell数，k-Jacobsthal数和第二类Chebychev多项式乘积的新生成函数。

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《Turkish Journal of Analysis and Number Theory》 |2018年第3期|共5页
作者
Khadidja Boubellouta; Ali Boussayoud; Mohamed Kerada;
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中图分类数学;
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1. A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions [J] . Masjed-Jamei M Journal of Mathematical Analysis and Applications . 2007,第2期

机译：使用对称函数的扩展Sturm-Liouville定理的对称正交多项式的基本类
2. Three-variable symmetric and antisymmetric exponential functions and orthogonal polynomials [J] . Agata Bezubik, Ji???- Hrivn??k, Ji???- Patera, Mathematica Slovaca . 2017,第2期

机译：三种对称和反对称指数函数和正交多项式
3. FUNCTIONS ORTHOGONAL TO POLYNOMIALS AND THEIR APPLICATION IN AXIALLY SYMMETRIC PROBLEMS IN PHYSICS [J] . A. O. Savchenko Theoretical and mathematical physics . 2014,第2期

机译：多项式正交的函数及其在物理轴对称问题中的应用
4. The Third Hankel Determinant For Starlike Functions With Respect To Symmetric Points Subordinate To k-Fibonacci Sequence [C] . P. Sumalatha, R.B. Sharma, M.Hari Priya National Conference on Mathematical Techniques and Applications . 2019

机译：第三Hankel决定簇的恒星函数相对于对称点从属于K-Fibonacci序列
5. A transformation of orthogonal polynomial sequences into orthogonal Laurent polynomial sequences. [D] . Hagler, Brian Allan. 1997

机译：将正交多项式序列转换为正交Laurent多项式序列。
6. Some symmetric identities for the generalized Bernoulli Euler and Genocchi polynomials associated with Hermite polynomials [O] . Waseem A. Khan, Hiba Haroon -1

机译：与Hermite多项式相关的广义BernoulliEuler和Genocchi多项式的一些对称恒等式
7. Generating functions of binary products of k-Fibonacci and orthogonal polynomials [O] . Ali Boussayoud, Souhila Boughaba, Mohamed Kerada, 2019

机译：K-FIBONACCI和正交多项式的二元产品产生功能
8. Orthogonal Polynomials with Respect to a Symmetric Inner Product Involving Derivatives [R] . Bavinck, H. , Meijer, H. G. 1987

机译：关于含有衍生物的对称内积的正交多项式

Symmetric Functions for k-Fibonacci Numbers and Orthogonal Polynomials

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