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

Geometric properties of partial sums of generalized Koebe function

Erhan DENİZ
Erkan YALÇIN
Sayfa
194–206
Yayın Tarihi
2022-11-05
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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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Temel Bulgular & Veri:Furthermore, we give some special results related with special cases ofc constant.
💡
Sonuç & Katkı:The results, which are presented in this paper, would generalize those in related works of several earlierauthors.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (5)

  1. Duren PL. Univalent Functions. Grundlehren der mathematischen Wissenschaften 259. NewYork, NY, USA: Springer-Verlag, 1983
  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.