Fekete-Szegö functional for a class of non-Bazilevic functions related to quasi-subordination

Author:

Shah Syed Ghoos Ali1,Al-Sa’di Sa’ud2,Hussain Saqib1,Tasleem Asifa1,Rasheed Akhter1,Cheema Imran Zulfiqar3,Darus Maslina4

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad , Abbottabad Campus 22060 , Pakistan

2. Department of Mathematics, Faculty of Science, The Hashemite University , P.O Box 330127, Zarqa 13133 , Jordan

3. Department of Mathematics, COMSATS University Islamabad , Lahore Campus , Pakistan

4. Department of Mathematical Sciences, Universiti Kebangsaan Malaysia , Bangi 43600, Selangor , Malaysia

Abstract

Abstract In this article, we study the Fekete-Szegö functional associated with a new class of analytic functions related to the class of bounded turning by using the principle of quasi-subordination. We derived the coefficient estimates including the classical Fekete-Szegö inequality for functions belonging to this class. We also improved some existing results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference40 articles.

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2. T. H. MacGregor, Majorization by univalent functions, Duke Math. J. 34 (1967), 95–102.

3. S. Owa, T. Sekine, and R. Yamakawa, On Sakaguchi-type functions, Appl. Math. Comput. 187 (2007), 356–361.

4. M. Obradovic, A class of univalent functions, Hokkaido Math. J. 2 (1988), 329–335.

5. P. Sharma and R. K. Raina, On a Sakaguchi-type class of univalent functions associated with quasi-subordination, Comment. Math. Univ. St. Paul 64 (2015), 59–70.

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