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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Furthermore, in order to give qualitative properties of this integral transform, we introduce the Chebyshevtype matrix polynomials of first kind.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study we introduce a new type generalization of Chebyshev matrix polynomials of second kind by using the integral representation.
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Key Findings & Data:We obtain their matrix recurrence relations, matrix differential equation and generating matrix functions.
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Conclusion & Impact:Furthermore, in order to give qualitative properties of this integral transform, we introduce the Chebyshevtype matrix polynomials of first kind.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Chebyshev matrix polynomials of the second kind · Generating matrix function · Matrix differential equation
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.
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Cite This Article
Kargin, L., Kurt, V. (2015). Chebyshev-type matrix polynomials and integral transforms. Hacettepe Journal of Mathematics and Statistics, Volume: 44 Issue: 2. https://ajindex.com/articles/1403307