Chebyshev-type matrix polynomials and integral transforms

Authors : Levent KARGİN, Veli KURT

Pages : 341-350

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Publication Date : 2015-04-01

Article Type : Research Paper

Abstract :In this study we introduce a new type generalization of Chebyshev matrix polynomials of second kind by using the integral representation. We obtain their matrix recurrence relations, matrix differential equation and generating matrix functions. We investigate operational rules associated with operators corresponding to Chebyshev-type matrix polynomials of second kind. Furthermore, in order to give qualitative properties of this integral transform, we introduce the Chebyshevtype matrix polynomials of first kind.
Keywords : Chebyshev matrix polynomials of the second kind, Generating matrix function, Matrix differential equation