Some tridiagonal determinants related to central delannoy numbers, the chebyshev polynomials, and the fibonacci polynomials

被引：0

作者：

Qi, F. ^{[1
,2
,3
,4
]}

Čerňanová, V. ^{[5
]}

Semenov, Y.S. ^{[6
]}

机构：

[1] Institute of Mathematics, Henan Polytechnic University, Jiaozuo, China

[2] College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, China

[3] College of Science, Tianjin Polytechnic University, China

[4] Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, China

[5] Department of Mathematics and Computer Science, Faculty of Education, Trnava University, Priemy-selná 4, Trnava,918 43, Slovakia

[6] Applied Mathematics-1, Moscow State University of Railway Engineering, Moscow,127994, Russia

来源：

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2019年 / 81卷 / 01期

关键词：

Cauchy product - Central Delannoy number - Chebyshev polynomials - Fibonacci numbers - Fibonacci polynomials - Generating functions - Second kinds - Tridiagonal determinants - Tridiagonal matrices;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the paper, the authors give a motivation from central Delannoy numbers to a tridiagonal determinant, find a generating function for the tridiagonal determinant, prove several formulas for the tridiagonal determinant, discuss the inverse of the tridiagonal matrix, connect the tridiagonal determinant with the Chebyshev polynomials, the Fibonacci numbers and polynomials, and the Cauchy product of central Delannoy numbers, derive several formulas for the tridiagonal determinant and the second kind Chebyshev polynomials, review computation of general tridiagonal determinants, present two new formulas for computing general tridiagonal determinants, and generalize central Delannoy numbers and their Cauchy product. © 2019, Politechnica University of Bucharest. All rights reserved.

引用

页码：123 / 136

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