Journals / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 2

An investigation on a subclass of p- valently starlike functions in the unit disc

Pages
221–228
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

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

The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class $M_p(alpha)$.

📌 3 Key Takeaways

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Objective & Hypothesis:Let $A_p$ denote the class of functions of the form f(z) = $z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+· · ·$ which are regular and p-valent in the open unit disc D = {z : |z| 1)$.
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Key Findings & Data:Let $A_p$ denote the class of functions of the form f(z) = $z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+· · ·$ which are regular and p-valent in the open unit disc D = {z : |z| 1)$.
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Conclusion & Impact:The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class $M_p(alpha)$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let $A_p$ denote the class of functions of the form f(z) = $z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+· · ·$ which are regular and p-valent in the open unit disc D = {z : |z| 1)$. The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class $M_p(alpha)$.

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Cite This Article

POLATOĞLU, Y., BOLCAL, M., ŞEN, A., YAVUZ, E. (2022). An investigation on a subclass of p- valently starlike functions in the unit disc. Turkish Journal of Mathematics, Cilt: 31 - Sayı: 2, 221–228. https://ajindex.com/articles/608632

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References (5)

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  3. Nunokawa, M.: A sufficient condition for univalence and starlikeness, Proc. Japan, Acad. Ser a Math. Sci. 65, 163-164 (1989)
  4. Owa, S. and Srivastava, H.M.: Some generalized convolution properties associated with certain subclasses of analytic functions, J. Ineg. Pure Appl. Math. 3(3) (2002)
  5. Owa, S. and Srivastava, H.M.: Current topics in analytic function theory, Singapore, World Scientific, 1972.