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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this paper we use methods from the theory of differential subordinations to study the linear combination $azf^{"}(z) + bf^{'}(z) + c\frac{f(z)}{z}$ and give sharp bounds over the module, the argument and the real part of $\alpha f^{'}(z) + \beta\frac{f(z)}{z}$.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper we use methods from the theory of differential subordinations to study the linear combination $azf^{"}(z) + bf^{'}(z) + c\frac{f(z)}{z}$ and give sharp bounds over the module, the argument and the real part of $\alpha f^{'}(z) + \beta\frac{f(z)}{z}$.
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Key Findings & Data:In this paper we use methods from the theory of differential subordinations to study the linear combination $azf^{"}(z) + bf^{'}(z) + c\frac{f(z)}{z}$ and give sharp bounds over the module, the argument and the real part of $\alpha f^{'}(z) + \beta\frac{f(z)}{z}$.
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Conclusion & Impact:In this paper we use methods from the theory of differential subordinations to study the linear combination $azf^{"}(z) + bf^{'}(z) + c\frac{f(z)}{z}$ and give sharp bounds over the module, the argument and the real part of $\alpha f^{'}(z) + \beta\frac{f(z)}{z}$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:analytic · univalent · linear combination
Abstract
In this paper we use methods from the theory of differential subordinations to study the linear combination $azf^{"}(z) + bf^{'}(z) + c\frac{f(z)}{z}$ and give sharp bounds over the module, the argument and the real part of $\alpha f^{'}(z) + \beta\frac{f(z)}{z}$.
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Cite This Article
TUNESKİ, N., BULBOAC?, T., JOLEVSKA, B. T. (2022). Sharp results on linear combination of simple expressions of analytic functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 1, 121–128. https://ajindex.com/articles/530089