Journals / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 1

Close-to-Convex Functions By Means Of Bounded Boundary Rotation

Pages
136–139
Publication Date
2019-04-15
DOI
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AI Summary & Key Takeaways

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

We investigate distortion theorem, growth theorem and coefficient inequality for the class $\mathcal{CC}_k(A,B)$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we study on the class $\mathcal{CC}_k(A,B)$ of the close-to-convex functions with bounded boundary rotation.
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Key Findings & Data:In the present paper, we study on the class $\mathcal{CC}_k(A,B)$ of the close-to-convex functions with bounded boundary rotation.
💡
Conclusion & Impact:We investigate distortion theorem, growth theorem and coefficient inequality for the class $\mathcal{CC}_k(A,B)$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Growth theorem · Bounded boundary rotation · Coefficient inequality

Abstract

In the present paper, we study on the class $\mathcal{CC}_k(A,B)$ of the close-to-convex functions with bounded boundary rotation. We investigate distortion theorem, growth theorem and coefficient inequality for the class $\mathcal{CC}_k(A,B)$.

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Cite This Article

POLATOĞLU, Y., ÇETİNKAYA, A., MERT, O. (2019). Close-to-Convex Functions By Means Of Bounded Boundary Rotation. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 1, 136–139. https://ajindex.com/articles/786532

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References (4)

  1. A. W. Goodman, Univalent functions vol. I and II, Polygonal Pub. House, 1983
  2. I. S. Jack, Functions starlike and convex of order alpha, J. London Math. Soc. (2)(3)(1971), 469-474
  3. K. I. Noor, B. Malik, S. Mustafa, A Survey on Functions Bounded Boundary and Bounded Radius Rotation, Appl. Math. E-Notes. 12 (2012), 136-152
  4. B. Pinchuk, Functions of bounded boundary rotation, Isr. J. Math. 10 (1971), 7-19.