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Journals / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 1

Janowski starlike log-harmonic univalent functions

Erhan DENİZ
Yaşar POLATOĞLU
Pages
45–49
Publication Date
2022-10-18
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 investigate the class of Janowski starlike log-harmonic mappings, a subclass of the log-harmonic mappings.

📌 3 Key Takeaways

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Objective & Hypothesis:Let h(z) and g(z) be analytic functions in the open unit disc $Bbb{D} = {z | |z| < 1}$, with the normalization h(0) = g(0) = 1.
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Key Findings & Data:The class of log-harmonic mappings of the form f = zh(z)g(z) is denoted by $delta_{lh}$.
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Conclusion & Impact:The aim of this paper is to investigate the class of Janowski starlike log-harmonic mappings, a subclass of the log-harmonic mappings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let h(z) and g(z) be analytic functions in the open unit disc $Bbb{D} = {z | |z| < 1}$, with the normalization h(0) = g(0) = 1. The class of log-harmonic mappings of the form f = zh(z)g(z) is denoted by $delta_{lh}$. The aim of this paper is to investigate the class of Janowski starlike log-harmonic mappings, a subclass of the log-harmonic mappings.

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Cite This Article

DENİZ, E., POLATOĞLU, Y. (2022). Janowski starlike log-harmonic univalent functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 1, 45–49. https://ajindex.com/articles/530708

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References (6)

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  6. Silverman, H. and Silvia, E.M. Subclasses of starlike functions subordinate to convex functions, Canad. J. Math. 37, 48–61, 1985.