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Alternative proofs of some formulas for two tridiagonal determinants

Feng Qi

Feng Qi

Institute of Mathematics, Henan Polytechnic University, China College of Mathematics, Inner Mongolia University for Nationalities, Department of Mathematics, College of Science, Tianjin Polytechnic University
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Qi, Feng
 and 
Ai-Qi Liu

Ai-Qi Liu

Department of Mathematics, Sanmenxia PolytechnicChina
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Liu, Ai-Qi
  
Mar 04, 2019
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Published Online: Mar 04, 2019
Page range: 287 - 297
Received: Jun 19, 2018
DOI: https://doi.org/10.2478/ausm-2018-0022
Keywords
© 2018 Feng Qi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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