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Journals / New Trends in Mathematical Sciences / 2026 / Cilt: 5 Sayı: 2

Extremal functions for starlike functions and convex functions

İsmet Yildiz(DUZCE UNIVERSITY)
Oya Mert(ISTANBUL KEMERBURGAZ UNIVERSITY)
Neslihan Uyanik(ATATURK UNIVERSITY)
Neslihan Zorlu(DUZCE UNIVERSITY)
Pages
199–203
Publication Date
2017-03-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we obtain new extremal functions for starlike functions and convex functions on the range    0≤α≤ 1/(2 r+1 )     defined on the unit disk using analytic and univalent functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we obtain new extremal functions for starlike functions and convex functions on the range    0≤α≤ 1/(2 r+1 )     defined on the unit disk using analytic and univalent functions.
📊
Key Findings & Data:In this paper, we obtain new extremal functions for starlike functions and convex functions on the range    0≤α≤ 1/(2 r+1 )     defined on the unit disk using analytic and univalent functions.
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Conclusion & Impact:In this paper, we obtain new extremal functions for starlike functions and convex functions on the range    0≤α≤ 1/(2 r+1 )     defined on the unit disk using analytic and univalent functions.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Starlike function · convex function · analytic function

Abstract

In this paper, we obtain new extremal functions for starlike functions and convex functions on the range    0≤α≤ 1/(2 r+1 )     defined on the unit disk using analytic and univalent functions.

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Cite This Article

Yildiz, İ., Mert, O., Uyanik, N., Zorlu, N. (2017). Extremal functions for starlike functions and convex functions. New Trends in Mathematical Sciences, Cilt: 5 Sayı: 2, 199–203. https://ajindex.com/articles/1657681

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References (7)

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  2. C. Carath´eodory, Mathematische Annalen,- Springe., 64(1907), 95-115.
  3. P. L. Duren., 1. Univalen Functions., I. Title., II Series. QA331.D96 1983 515.9
  4. K. Kuroki, S. Owa and I. Yildiz ” On starlikeness of confluent hypergeometric functions” International Journal of Applied Mathematics, Volume 25 No. 4 2012, 583-589. M.S. Robertson,”On the Theory of Univalent Functions”, Ann. of Math,37(1936), 374-408.
  5. M. Nunokawa, M. Aydoğan, K. Kuroki, I. Yildiz, S. Owa, ” On the order of close-to-convexity of convex functions of order alpha”, Journal of Inequalities and Applications 2012, 2012:245 doi:10.1186/1029-242X-2012-245.
  6. P. L. Duren., 1. Univalen Functions., I. Title., II Series. QA331.D96 1983 515.9
  7. K. Kuroki, S. Owa and I. Yildiz ” On starlikeness of confluent hypergeometric functions” International Journal of Applied Mathematics, Volume 25 No. 4 2012, 583-589. M.S. Robertson,”On the Theory of Univalent Functions”, Ann. of Math,37(1936), 374-408.