Chebyshev-type matrix polynomials and integral transforms

Year 2015, Volume: 44 Issue: 2, 341 - 350, 01.04.2015

Levent Kargin , Veli Kurt

https://izlik.org/JA59HG75SL

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

References

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