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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Furthermore, the corresponding Poincaré-Bertrand formula for the $\alpha$-hyperholomorphic singular integrals in the unit circle is presented.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We obtain some analogues of the Hilbert formulas on the unit circle for $\alpha$-hy\-per\-ho\-lo\-mor\-phic function theory when $\alpha$ is a complex number.
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Temel Bulgular & Veri:Such formulas relate a pair of components of the boundary value of an $\alpha$-hyperholomorphic function in the unit circle with the other one.
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Sonuç & Katkı:Furthermore, the corresponding Poincaré-Bertrand formula for the $\alpha$-hyperholomorphic singular integrals in the unit circle is presented.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Hilbert formulas · Poincaré-Bertrand formulas
Abstract
We obtain some analogues of the Hilbert formulas on the unit circle for $\alpha$-hy\-per\-ho\-lo\-mor\-phic function theory when $\alpha$ is a complex number. Such formulas relate a pair of components of the boundary value of an $\alpha$-hyperholomorphic function in the unit circle with the other one. Furthermore, the corresponding Poincaré-Bertrand formula for the $\alpha$-hyperholomorphic singular integrals in the unit circle is presented.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
REYES, J. B., BLAYA, R. A., ROSA, M. A. P. D. L., SCHNEIDER, B. (2022). On the Hilbert formulas and of change of integration order for some singular integrals in the unit circle. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 3, 862–875. https://ajindex.com/articles/607907