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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We fundamentally focus on obtaining desired conditions on the parameters \ a,b\ , and $c$ in order that a hypergeometric function to be in various subclasses of starlike and convex functions of order \ \alpha=2^{-r}\ and order \ \alpha=2^{-r}\ type $\beta=2^{-1}$, with $r$ is a positive integer.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this study, we analytically investigate hypergeometric functions having some properties such as convexity and starlike.
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Temel Bulgular & Veri:In this study, we analytically investigate hypergeometric functions having some properties such as convexity and starlike.
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Sonuç & Katkı:We fundamentally focus on obtaining desired conditions on the parameters \ a,b\ , and $c$ in order that a hypergeometric function to be in various subclasses of starlike and convex functions of order \ \alpha=2^{-r}\ and order \ \alpha=2^{-r}\ type $\beta=2^{-1}$, with $r$ is a positive integer.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Analytic function · univalent function · starlike function
Abstract
In this study, we analytically investigate hypergeometric functions having some properties such as convexity and starlike. We fundamentally focus on obtaining desired conditions on the parameters \ a,b\ , and $c$ in order that a hypergeometric function to be in various subclasses of starlike and convex functions of order \ \alpha=2^{-r}\ and order \ \alpha=2^{-r}\ type $\beta=2^{-1}$, with $r$ is a positive integer.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
YILDIZ, İ., AKYAR, A. (2020). An analytical investigatıon on starlikeness and convexity properties for hypergeometric functions. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 4, 1453–1465. https://ajindex.com/articles/185517