Determinants of some Hessenberg matrices with generating functions

IF 0.8 Q2 MATHEMATICS

Special Matrices Pub Date : 2022-08-03 DOI:10.1515/spma-2022-0170

U. Leerawat, K. Daowsud

引用次数: 1

Abstract

Abstract In this paper, we derive some relationships between the determinants of some special lower Hessenberg matrices whose entries are the terms of certain sequences and the generating functions of these sequences. Moreover, our results are generalizations of the earlier results from previous researches. Furthermore, interesting examples of the determinants of some special lower Hessenberg matrices are presented.

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一些具有生成函数的Hessenberg矩阵的行列式

摘要本文导出了以序列项为项的特殊下Hessenberg矩阵的行列式与这些序列的生成函数之间的关系。此外，我们的结果是对先前研究的早期结果的概括。此外，还给出了一些特殊下海森伯格矩阵行列式的有趣例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Special Matrices MATHEMATICS-

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

8 weeks

期刊介绍： Special Matrices publishes original articles of wide significance and originality in all areas of research involving structured matrices present in various branches of pure and applied mathematics and their noteworthy applications in physics, engineering, and other sciences. Special Matrices provides a hub for all researchers working across structured matrices to present their discoveries, and to be a forum for the discussion of the important issues in this vibrant area of matrix theory. Special Matrices brings together in one place major contributions to structured matrices and their applications. All the manuscripts are considered by originality, scientific importance and interest to a general mathematical audience. The journal also provides secure archiving by De Gruyter and the independent archiving service Portico.