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

Abstract

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.

Keywords

• Analytic
• p-Valent
• Starlike and convex functions
• Fekete-Szegö problem
• Convolution
• Subordination