Alternative proofs of some formulas for two tridiagonal determinants
Abstract
In the paper, the authors provide five alternative proofs of two formulas for a tridiagonal determinant, supply a detailed proof of the inverse of the corresponding tridiagonal matrix, and provide a proof for a formula of another tridiagonal determinant. This is a companion of the paper [F. Qi, V. Čerňanová,and Y. S. Semenov, Some tridiagonal determinants related to central Delannoy numbers, the Chebyshev polynomials, and the Fibonacci polynomials, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 81 (2019), in press.
DOI: https://doi.org/10.2478/ausm-2018-0022 | Journal eISSN: 2066-7752
Language: English
Page range: 287 - 297
Submitted on: Jun 19, 2018
Published online: Mar 4, 2019
Published in print: Dec 1, 2018
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
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© 2019 Feng Qi, Ai-Qi Liu, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.