SavedAdd your journal

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
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

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.

📌 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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact: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.
🔬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.

🔖

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/530707

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (6)

  1. Zayid Abdulhadi, Z. and Abu Muhanna, Y. Starlike log-harmonic mappings of order α, Journal of Inequalities in Pure and Applied Mathematics 7 (4), 123, 2006.
  2. Goodman, A. W. Univalent Functions, Vol I, II (Mariner Publ. Comp., Tampa, Florida, 1984).
  3. Jack, I. S. Functions starlike and convex of order α, J. London Math. Soc. 3 (2), 469–474, 1971.
  4. Janowski, W. Some extremal problems for certain families of analytic functions, Annales Polinici Mathematici XXVIII, 297–326, 1973 (Berlin, 1957).
  5. Kuroki, K. and Owa, S. Some applications of Janowski functions, International Short Joint Research Workshop (Study On Non-Analytic and Univalent Functions and Applications), Research Institute for Mathematical Science (Kyoto University (RIMS), May, 2008).
  6. Silverman, H. and Silvia, E. M. Subclasses of starlike functions subordinate to convex func- tions, Canad. J. Math. 37, 48–61, 1985.