FEKETE-SZEG\"{O} TYPE COEFFICIENT INEQUALITIES FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 218

Volume : 16 , Issue : 1
DOI:
Author :
H. E. Darwish (Department of Mathematics, Faculty of Science, Mansoura University Mansoura, 35516, EGYPT)
A.Y. Lashin (Department of Mathematics, Faculty of Science, Mansoura University Mansoura, 35516, EGYPT)
R.M. El-Ashwah (Department of Mathematics, Faculty of Science, Damietta University, New Damietta, 34517, EGYPT)
E. M. Madar (Department of Mathematics, Faculty of Science, Damietta University, New Damietta, 34517, EGYPT)

Abstract

In the present investigation, the authors obtain Fekete-Szeg\"{o} inequality for certain subclasses of analytic functions on the open unit disk. For these classes, the Fekete-Szeg\"{o} type defined through fractional derivatives is obtained.

Keywords and Phrases

Univalent functions, starlike functions, convex functions, subordination, Fekete-Szeg\"{o} inequalities.

A.M.S. subject classification

30C45.

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