Coefficient inequality for certain subclasses of univalent functions

• Main Authors: Aini Janteng, Suzeini Abdul Halim, Maslina Darus
• Format: Article
• Language: English; English
• Published: Pushpa Publishing House 2005
• Subjects: QA1-939 Mathematics
• Online Access: https://eprints.ums.edu.my/id/eprint/33568/2/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.ABSTRACT.pdf; https://eprints.ums.edu.my/id/eprint/33568/1/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.pdf; https://eprints.ums.edu.my/id/eprint/33568/; http://www.pphmj.com/abstract/472.htm

Let f (z)= z+ ∑_(n=2)^∞▒〖a_n z^n 〗 an analytic and univalent function in the unit disk D = {z├∶┤|├ z┤| z < ├ 1}. The purpose of the present paper is to introduce the functional |a_4-μa^(2/3) | when µ is real. We give sharp upper bounds for |a_4-μa^(2/3) | for certain subclasses of univalent functions. The results obtained are sharp.