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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Our results in this paper are generalizations for results by Nunokawa in 1992.
📌 3 Key Takeaways
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Objective & Hypothesis:Let $\mathcal{A}(n)$ be the class of functions $$f(z)=a_nz^n + a_{n+1}z^{n+1}+\cdots (n\in \mathbb{N}),$$ which are analytic in the open unit disk $\mathbb{U}$, where $a_n \neq 0$.
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Key Findings & Data:For $f(z)\in \mathcal{A}(n)$, Miller and Mocanu in 1978 showed a very interesting result for $f(z)$.
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Conclusion & Impact:Our results in this paper are generalizations for results by Nunokawa in 1992.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic function · the class $\mathcal{S}(n · \alpha)$
Abstract
Let $\mathcal{A}(n)$ be the class of functions $$f(z)=a_nz^n + a_{n+1}z^{n+1}+\cdots (n\in \mathbb{N}),$$ which are analytic in the open unit disk $\mathbb{U}$, where $a_n \neq 0$. For $f(z)\in \mathcal{A}(n)$, Miller and Mocanu in 1978 showed a very interesting result for $f(z)$. Applying the result due to Miller and Mocanu, we would like to consider some new results for such functions. Our results in this paper are generalizations for results by Nunokawa in 1992.
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Cite This Article
DUMAN, E. Y., OWA, S. (2019). Notes on certain analytic functions. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 279–283. https://ajindex.com/articles/215002