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On Chebyshev matrix polynomials, matrix differential equations and their properties
Journal article   Open access  Peer reviewed

On Chebyshev matrix polynomials, matrix differential equations and their properties

M. S. Metwally, M. T. Mohamed and A. Shehata
Afrika mathematica, Vol.26(5-6), pp.1037-1047
01/09/2015
DOI: https://doi.org/10.1007/s13370-014-0262-y

Abstract

Mathematics Physical Sciences Science & Technology
The main aim of this paper is to define and study of the Chebyshev matrix polynomials. An explicit representation, a three-term matrix recurrence relations for the Chebyshev matrix polynomials are given. These polynomials appear as finite series solutions of second order matrix differential equations. The expansion Chebyshev matrix polynomials in series of Hermite matrix polynomials and the Christoffel formula of summation are established.
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https://doi.org/10.1007/s13370-014-0262-yView
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