ON THE CHARACTERISTIC POLYNOMIAL OF CHEBYSHEV MATRICES
By
M. A. Pathan1, Hemant Kumar2, Taekyun Kim3 and J. Lopez-Bonilla4
1Centre for Mathematical and Statistical Sciences, Peechi Campus, Peechi, Kerala, India-680653
1Department of Mathematics, Aligarh Muslim University, Aligarh, Uttar Pradesh, India-202002
2Department of Mathematics, D. A-V. Postgraduate College Kanpur, Uttar Pradesh, India-208001
3Department of Mathematics, College of Natural Science, Kwangwoon University, Seoul, Republic of Korea-139701
4ESIME-Zacatenco, Instituto Politecnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP, CDMX, Mexico-07738
Email: mapathan@gmail.com, palhemant2007@rediffmail.com, mailto:tkkim@kw.ac.kr, jlopezb@ipn.mx
(Received: August 04, 2023; In format: September 03, 2023; Revised: September 27, 2023; Accepted: November 14, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53217
Abstract
We exhibit that the coeficients of the characteristic polynomial of any matrix Anxn can be written in terms of the complete Bell polynomials, and this result is applied to Chebyshev matrices which generates the concept of Associated Polynomials of Chebyshev.
Keywords and Phrases: Bell and Chebyshev polynomials, Characteristic polynomial, Chebyshev matrices, Gauss hypergeometric function.