Abstract
References
- 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.
- Goodman, A. W. Univalent Functions, Vol I, II (Mariner Publ. Comp., Tampa, Florida, 1984).
- Jack, I. S. Functions starlike and convex of order α, J. London Math. Soc. 3 (2), 469–474, 1971.
- Janowski, W. Some extremal problems for certain families of analytic functions, Annales Polinici Mathematici XXVIII, 297–326, 1973 (Berlin, 1957).
- 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).
- Silverman, H. and Silvia, E. M. Subclasses of starlike functions subordinate to convex func- tions, Canad. J. Math. 37, 48–61, 1985.
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.
Keywords
Log-harmonic univalent functions Janowski starlike log-harmonic functions Subordination principle Distortion theorems 2000 AMS Classification: Primary 30 C 35
References
- 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.
- Goodman, A. W. Univalent Functions, Vol I, II (Mariner Publ. Comp., Tampa, Florida, 1984).
- Jack, I. S. Functions starlike and convex of order α, J. London Math. Soc. 3 (2), 469–474, 1971.
- Janowski, W. Some extremal problems for certain families of analytic functions, Annales Polinici Mathematici XXVIII, 297–326, 1973 (Berlin, 1957).
- 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).
- Silverman, H. and Silvia, E. M. Subclasses of starlike functions subordinate to convex func- tions, Canad. J. Math. 37, 48–61, 1985.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | January 1, 2009 |
| Published in Issue | Year 2009 Volume: 38 Issue: 1 |