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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 1

Geometric properties of partial sums of generalized Koebe function

Erhan DENİZ
Erkan YALÇIN
Pages
194–206
Publication Date
2022-11-05
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

The results, which are presented in this paper, would generalize those in related works of several earlierauthors.

📌 3 Key Takeaways

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Objective & Hypothesis:The aim of the present paper is to investigate the starlikeness, convexity, and close-to-convexity of somepartial sums of the generalized Koebe function.
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Key Findings & Data:Furthermore, we give some special results related with special cases ofc constant.
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Conclusion & Impact:The results, which are presented in this paper, would generalize those in related works of several earlierauthors.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of the present paper is to investigate the starlikeness, convexity, and close-to-convexity of somepartial sums of the generalized Koebe function. Furthermore, we give some special results related with special cases ofc constant. The results, which are presented in this paper, would generalize those in related works of several earlierauthors.

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Cite This Article

DENİZ, E., YALÇIN, E. (2022). Geometric properties of partial sums of generalized Koebe function. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 1, 194–206. https://ajindex.com/articles/607573

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References (5)

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  2. Hayami T, Kuroki K, Duman EY, Owa S. Partial sums of certain univalent functions. Applied Mathematical Sciences 2012; 6 (16): 779-805
  3. Hille E. On a paper by Zeev Nehari. Bulletin of the American Mathematical Society 1949; 55: 552-5 [4] Owa S, Srivastava HM, Saito N. Partial sums of certain classes of analytic functions. International Journal of Computer Mathematics 2004; 81: 1239-1256
  4. Szegö G. Zur Theorie der schlichten Abbildungen. Mathematische Annalen 1928; 100: 188-211 (in German)
  5. Yamashita S. Nonunivalent generalized Koebe function. Proceedings of the Japan Academy, Series A 2003; 79: 9-10.