On the Fekete-Szego problem for some subclasses of analytic functions defined by convolution. | [Proceedings of Pakistan Academy of Sciences • 2007]

Author(s):

1. G. Murugusundaramoorthy: School of Science and Humanities, VIT University, Vellore, T.N. India

2. S. Kavitha: Department of Mathematics, Madras Christian College, Chennai, Tarnilnadu, India

3. Thomas Rosy: Department of Mathematics, Madras Christian College, Chennai, Tarnilnadu, India

Abstract:

In this present investigation, the authors obtain Fekete-Szego inequality for certain normalized analytic functions ƒ(z) defined on the open unit disk. As a special case of this result, Fekete-Szego inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to give a generalization of the Fekete-Szego inequalities obtained by Srivastava and Mishra and Ma and Minda.

Page(s): 249-254

DOI: DOI not available

Published: Journal: Proceedings of Pakistan Academy of Sciences, Volume: 44, Issue: 4, Year: 2007

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