Fekete-Szegö inequalities for p-valent starlike and convex functions of complex order

In this paper, we obtain Fekete-Szegö inequalities for certain class of analytic p-valent functions f(z) for which 1+1b1pz(f∗g)′(z)+λz2(f∗g)″(z)(1-λ)(f∗g)(z)+λz(f∗g)′(z)-1≺φ(z)(b∈C∗=C⧹{0}). Sharp bounds for the Fekete-Szegö functional |ap+2-μap+12| are obtained.

Bibliographic Details
Main Authors: M.K. Aouf, R.M. EL-Ashwah, H.M. Zayed
Format: Article
Language:English
Published: SpringerOpen 2014-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X13000862