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Journals / Turkish Journal of Mathematics / 2010 / Cilt: 34 - Sayı: 3

Some sufficient conditions for starlikeness and convexity

Mamoru NUNOKAWA
Shigeyoshi OWA
Yaşar POLATOĞLU
Emel Yavuz DUMAN
Mert ÇAĞLAR
Pages
333–337
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Nunokawa (1993), some sufficient conditions for starlikeness and convexity of f(z) are discussed.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:There are many results for sufficient conditions of functions f(z) which are analytic in the open unit disc U to be starlike and convex in U.
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Key Findings & Data:Mocanu (1988), and M.
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Conclusion & Impact:Nunokawa (1993), some sufficient conditions for starlikeness and convexity of f(z) are discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Univalent · starlike · convex.

Abstract

There are many results for sufficient conditions of functions f(z) which are analytic in the open unit disc U to be starlike and convex in U. In view of the results due to S. Ozaki, I. Ono and T. Umezawa (1956), P.T. Mocanu (1988), and M. Nunokawa (1993), some sufficient conditions for starlikeness and convexity of f(z) are discussed.

Özet

There are many results for sufficient conditions of functions f(z) which are analytic in the open unit disc U to be starlike and convex in U. In view of the results due to S. Ozaki, I. Ono and T. Umezawa (1956), P.T. Mocanu (1988), and M. Nunokawa (1993), some sufficient conditions for starlikeness and convexity of f(z) are discussed.

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Cite This Article

NUNOKAWA, M., OWA, S., POLATOĞLU, Y., DUMAN, E. Y., ÇAĞLAR, M. (2022). Some sufficient conditions for starlikeness and convexity. Turkish Journal of Mathematics, Cilt: 34 - Sayı: 3, 333–337. https://ajindex.com/articles/608496

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References (5)

  1. Mocanu, P. T.: Some starlikeness conditions for analytic functions, Rev. Roumaine Math. Pures. Appl., 33, 117–124, (1988).
  2. Mocanu, P. T.: Some simple criteria for starlikeness and convexity, Libertas Mathematica, 13, 27–40, (1993).
  3. Nunokawa, M.: On the order of strongly starlikeness of strongly convex functions, Proc. Japan Acad., Sec.A 68, –237, (1993). Obradovi´c, M.: Simple sufficient conditions for univalence, Matemat. Vesnik, 49, 242–244, (1997).
  4. Ozaki, S., Ono, I. and Umezawa, T.: On a general second order derivative, Sci. Rep. Tokyo Kyoiku Daigaku, Sec.A, 111–114, (1956). Mamoru NUNOKAWA Emeritus Professor University of Gunma, Hoshikuki 798-8
  5. Chuo, Chiba 260-0808, JAPAN Shigeyoshi OWA Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, JAPAN e-mail: [email protected] Ya¸sar POLATO ˘GLU Department of Mathematics and Computer Science, T.C. ˙Istanbul K¨ult¨ur University, ˙Istanbul-TURKEY e-mail: [email protected] Mert C¸ A ˘GLAR Department of Mathematics and Computer Science, TC ˙Istanbul K¨ult¨ur University, ˙Istanbul-TURKEY e-mail: [email protected] Emel YAVUZ DUMAN Department of Mathematics and Computer Science, T.C. ˙Istanbul K¨ult¨ur University, ˙Istanbul-TURKEY e-mail: [email protected]