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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 38 Issue: 1

Janowski Starlike Log-Harmonic Univalent Functions

Y. Polatoğlu
E. Deniz
Pages
—
Publication Date
2009-01-01
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

🎯
Objective & Hypothesis:Let h(z) and g(z) be analytic functions in the open unit disc 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 Slh.
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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:Log-harmonic univalent functions · Janowski starlike log-harmonic functions · Subordination principle

Abstract

Let h(z) and g(z) be analytic functions in the open unit disc 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 Slh. 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

Polatoğlu, Y., Deniz, E. (2009). Janowski Starlike Log-Harmonic Univalent Functions. Hacettepe Journal of Mathematics and Statistics, Volume: 38 Issue: 1. https://ajindex.com/articles/1403758

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References (6)

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