EN
Chebyshev-type matrix polynomials and integral transforms
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
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 1, 2015
Submission Date
August 15, 2013
Acceptance Date
February 10, 2014
Published in Issue
Year 2015 Volume: 44 Number: 2
APA
Kargin, L., & Kurt, V. (2015). Chebyshev-type matrix polynomials and integral transforms. Hacettepe Journal of Mathematics and Statistics, 44(2), 341-350. https://izlik.org/JA59HG75SL
AMA
1.Kargin L, Kurt V. Chebyshev-type matrix polynomials and integral transforms. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):341-350. https://izlik.org/JA59HG75SL
Chicago
Kargin, Levent, and Veli Kurt. 2015. “Chebyshev-Type Matrix Polynomials and Integral Transforms”. Hacettepe Journal of Mathematics and Statistics 44 (2): 341-50. https://izlik.org/JA59HG75SL.
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
[1]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, Apr. 2015, [Online]. Available: https://izlik.org/JA59HG75SL
ISNAD
Kargin, Levent - Kurt, Veli. “Chebyshev-Type Matrix Polynomials and Integral Transforms”. Hacettepe Journal of Mathematics and Statistics 44/2 (April 1, 2015): 341-350. https://izlik.org/JA59HG75SL.
JAMA
1.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, Apr. 2015, pp. 341-50, https://izlik.org/JA59HG75SL.
Vancouver
1.Levent Kargin, Veli Kurt. Chebyshev-type matrix polynomials and integral transforms. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Apr. 1;44(2):341-50. Available from: https://izlik.org/JA59HG75SL