Chebyshev-type matrix polynomials and integral transforms

Levent Kargin; Veli Kurt

Research Article

Chebyshev-type matrix polynomials and integral transforms

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

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

Levent Kargin , Veli Kurt

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Levent Kargin Veli Kurt
Publication Date	April 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 2

Cite

APA	Kargin, L., & Kurt, V. (2015). Chebyshev-type matrix polynomials and integral transforms. Hacettepe Journal of Mathematics and Statistics, 44(2), 341-350.
AMA	Kargin L, Kurt V. Chebyshev-type matrix polynomials and integral transforms. Hacettepe Journal of Mathematics and Statistics. April 2015;44(2):341-350.
Chicago	Kargin, Levent, and Veli Kurt. “Chebyshev-Type Matrix Polynomials and Integral Transforms”. Hacettepe Journal of Mathematics and Statistics 44, no. 2 (April 2015): 341-50.
EndNote	Kargin L, Kurt V (April 1, 2015) Chebyshev-type matrix polynomials and integral transforms. Hacettepe Journal of Mathematics and Statistics 44 2 341–350.
IEEE	L. Kargin and V. Kurt, “Chebyshev-type matrix polynomials and integral transforms”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, pp. 341–350, 2015.
ISNAD	Kargin, Levent - Kurt, Veli. “Chebyshev-Type Matrix Polynomials and Integral Transforms”. Hacettepe Journal of Mathematics and Statistics 44/2 (April 2015), 341-350.
JAMA	Kargin L, Kurt V. Chebyshev-type matrix polynomials and integral transforms. Hacettepe Journal of Mathematics and Statistics. 2015;44:341–350.
MLA	Kargin, Levent and Veli Kurt. “Chebyshev-Type Matrix Polynomials and Integral Transforms”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, 2015, pp. 341-50.
Vancouver	Kargin L, Kurt V. Chebyshev-type matrix polynomials and integral transforms. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):341-50.