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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
The results presented here generalize some known results.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Let SHbe the class of functions f = h + g¯ that are harmonic univalent and sense-preserving in the open unit disk U = {z ∈ C : |z| < 1}, where h, g are analytic and f (0) = fz′ (0) − 1 = 0 in U.
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Temel Bulgular & Veri:In this paper, we investigate the properties of some subclasses of SH such that h(z) is a starlike (or convex) function defined by subordination.
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Sonuç & Katkı:The results presented here generalize some known results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
Let SHbe the class of functions f = h + g¯ that are harmonic univalent and sense-preserving in the open unit disk U = {z ∈ C : |z| < 1}, where h, g are analytic and f (0) = fz′ (0) − 1 = 0 in U. In this paper, we investigate the properties of some subclasses of SH such that h(z) is a starlike (or convex) function defined by subordination. We provide coefficient estimates, extremal function, distortion and growth estimates of g , growth, and Jacobian estimates of f . We also obtain area estimates and covering theorems of the classes. The results presented here generalize some known results.
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Bu Makaleye Atıf Yap
LI, S., NA, M. L., EN, A., HUO, T. (2022). Some classes of harmonic mappings with analytic part defined by subordination. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 172–185. https://ajindex.com/articles/607676