| 一类无穷下三角矩阵的代数性质 |
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| 引用本文： | 赵熙强,王天明.一类无穷下三角矩阵的代数性质[J].数学研究及应用,2002,22(4):549-554. |
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| 作者姓名： | 赵熙强 王天明 |
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| 作者单位： | 1. 南京航空航天大学空气动力学系,江苏,南京,210016
2. 大连理工大学应用数学系,辽宁,大连,116024 |
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| 摘 要： | 修正了 4,5]中的 Jabotinsky矩阵,得到并证明了一类无穷下三角矩阵T（f）的一些性质,最后,导出了一些与导数相关的反演关系和组合恒等式.
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| 关 键 词： | Jabotinsky矩阵 组合恒等式 无穷下三角矩阵 代数性质 |
| 收稿时间： | 2000/12/27 0:00:00 |
The Algebraic Properties of a Type of Infinite Lower Triangular Matrices Related to Derivatives |
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| ZHAO Xi-qiang and WANG Tian-ming.The Algebraic Properties of a Type of Infinite Lower Triangular Matrices Related to Derivatives[J].Journal of Mathematical Research with Applications,2002,22(4):549-554. |
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| Authors: | ZHAO Xi-qiang and WANG Tian-ming |
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| Institution: | Dept. of Aero.; Nanjing Univ. of Aeronautics & Astronautics; Jiangsu; China;Dept. of Appl. Math.; Dalian University of Technology; Liaoning; China |
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| Abstract: | In this paper, Jabotinsky matrices in 4, 5] are modified and a type of infinite lower triangular matrices T(f) is discussed. Some algebraic properties of T(f) are obtained and proved. Additionally, some inverse pairs and combinatorial identities associated with derivatives are obtained. |
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| Keywords: | Jabotinsky matrix combinatorial identity inverse pair derivative |
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