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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Finally we will use these results to state several relations for Gegenbauer polynomials.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We generalize the first and second kind Chebyshev polynomials by using the concepts and the operational formalism of the Hermite polynomials of the Kampé de Fériet type.
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Temel Bulgular & Veri:We will see how it is possible to derive integral representations for these generalized Chebyshev polynomials.
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Sonuç & Katkı:Finally we will use these results to state several relations for Gegenbauer polynomials.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Two-variable Chebyshev and Gegenbauer polynomials · Generating functions · Integral representations
Abstract
We generalize the first and second kind Chebyshev polynomials by using the concepts and the operational formalism of the Hermite polynomials of the Kampé de Fériet type. We will see how it is possible to derive integral representations for these generalized Chebyshev polynomials. Finally we will use these results to state several relations for Gegenbauer polynomials.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
Cesarano, C. (2014). Generalized Chebyshev polynomials. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 5. https://ajindex.com/articles/1403364