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

Janowski Starlike Log-Harmonic Univalent Functions

Erhan DENİZ
Yaşar POLATOĞLU
Sayfa
45–49
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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

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Kaynakça (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.