Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 44 Issue: 2

Chebyshev-type matrix polynomials and integral transforms

Sayfa
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Yayın Tarihi
2015-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, in order to give qualitative properties of this integral transform, we introduce the Chebyshevtype matrix polynomials of first kind.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:We obtain their matrix recurrence relations, matrix differential equation and generating matrix functions.
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Sonuç & Katkı:Furthermore, in order to give qualitative properties of this integral transform, we introduce the Chebyshevtype matrix polynomials of first kind.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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

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