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.
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页数：8
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