Computation of several Hessenberg determinants-Reference-Cited by-同舟云学术

Computation of several Hessenberg determinants

Published:2020-12-01 Issue:6 Volume:70 Page:1521-1537
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Qi Feng¹²³,Kouba Omran⁴,Kaddoura Issam⁵

Affiliation:

1. Institute of Mathematics , Henan Polytechnic University , Jiaozuo 454010 , Henan , China

2. College of Mathematics , Inner Mongolia University for Nationalities , Tongliao 028043 , Inner Mongolia , China

3. School of Mathematical Sciences , Tianjin Polytechnic University , Tianjin , 300387 , China

4. Department of Mathematics , Higher Institute for Applied Sciences and Technology , P.O.B. 31983 , Damascus , Syria

5. Department of Mathematics School of Arts and Sciences , Lebanese International University , Beirut , Lebanon

Abstract

Abstract In the paper, employing methods and techniques in analysis and linear algebra, the authors find a simple formula for computing an interesting Hessenberg determinant whose elements are products of binomial coefficients and falling factorials, derive explicit formulas for computing some special Hessenberg and tridiagonal determinants, and alternatively and simply recover some known results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0445/pdf

Reference43 articles.

1. Anderson, G.-D.—Vamanamurthy, M.-K.—Vuorinen, M.: Conformal Invariants, Inequalities, and Quasiconformal Maps. Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, New York, 1997.

2. Bernstein, D. S.: Scalar, Vector, and Matrix Mathematics: Theory, Facts, and Formulas, revised and expanded edition, Princeton University Press, Princeton, NJ, 2018.

3. Bourbaki, N.: Functions of a Real Variable, Elementary Theory. Elements of Mathematics, translated from the 1976 French original by Philip Spain, (Berlin), Springer-Verlag, Berlin, 2004.

4. Chen, C.-P.: Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions, J. Math. Anal. Appl. 336 (2007), 812–822.

5. Chen, C.-P.—Choi, J.: Inequalities and complete monotonicity for the gamma and related functions, Commun. Korean Math. Soc. 34(4) (2019), 1261–1278.

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