Orthogonality Property of the Discrete q-Hermite Matrix Polynomials

被引：0

作者：

Salem, Ahmed ^{[1
]}

Alzahrani, Faris ^{[1
]}

El-Shahed, Moustafa ^{[2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Qassim Univ, Unaizah Fac Arts & Sci, POB 3771, Unaizah 51431, Qassim, Saudi Arabia

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷

关键词：

Eigenvalues and eigenfunctions;

D O I：

10.1155/2022/3448290

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we prove that the solution of the autonomous q-difference system D(q)Yx=AYqx with the initial condition Y0=Y-0 where A is a constant square complex matrix, D-q is the Jackson q-derivative and 0 lambda < 0 for all lambda is an element of sigma A where sigma A is the set of all eigenvalues of A (the spectrum of A). This results are exploited to provide the orthogonality property of the discrete q-Hermite matrix polynomials.

引用

页数：8

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