Chebyshev-type matrix polynomials and integral transforms
Chebyshev-type matrix polynomials and integral transforms
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DOI：
10.15672/hjms.2015449102
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发表时间：
2015-03
影响因子：
0.8
通讯作者：
L. Kargin;V. Kurt
中科院分区：
文献类型：
--
作者：
L. Kargin;V. Kurt
本文利用积分表示，给出了第二类Chebyshev矩阵多项式的一种新的推广。得到了它们的矩阵递推关系、矩阵的对偶方程和生成矩阵函数。我们研究与第二类Chebyshev型矩阵多项式对应的算子相关的运算规则。此外，为了给出这种积分变换的定性性质，我们引入了第一类Chebyshev型矩阵多项式。2000 AMS分类：33E20、15A60、35A22。
In this study we introduce a new type generalization of Chebyshev matrix polynomials of second kind by using the integral representation. We obtain their matrix recurrence relations, matrix dierential equation and generating matrix functions. We investigate operational rules associated with operators corresponding to Chebyshev-type matrix polynomials of second kind. Furthermore, in order to give qualitative properties of this integral transform, we introduce the Chebyshevtype matrix polynomials of first kind. 2000 AMS Classification: 33E20, 15A60, 35A22.