Fekete–Szegö inequalities for certain class of meromorphic functions

Fekete–Szegö inequalities for certain class of meromorphic functions

In this paper, we obtain Fekete–Szegö inequalities for a certain class of meromorphic functions f(z) for which -zf′(z)+αz2f″(z)(1-α)f(z)+αzf′(z)≺φ(z)(α∈C-(0,1]). Sharp bounds for the Fekete–Szegö functional a1-μa02 are obtained.

Bibliographic Details
Main Authors: M.K. Aouf, R.M. El-Ashwah, H.M. Zayed
Format: Article
Language:English
Published: SpringerOpen 2013-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Analytic
Meromorphic
Starlike and convex functions
Fekete–Szegö problem
Convolution
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X13000436
Description
Summary:In this paper, we obtain Fekete–Szegö inequalities for a certain class of meromorphic functions f(z) for which -zf′(z)+αz2f″(z)(1-α)f(z)+αzf′(z)≺φ(z)(α∈C-(0,1]). Sharp bounds for the Fekete–Szegö functional a1-μa02 are obtained.
ISSN:1110-256X

Similar Items