Dergiler / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

Notes on certain analytic functions

Sayfa
279–283
Yayın Tarihi
2019-02-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our results in this paper are generalizations for results by Nunokawa in 1992.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:For $f(z)\in \mathcal{A}(n)$, Miller and Mocanu in 1978 showed a very interesting result for $f(z)$.
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Sonuç & Katkı:Our results in this paper are generalizations for results by Nunokawa in 1992.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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

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