Coefficient estimate of p-valent Bazilevic functions with a bounded positive real part

Some properties of analytic functions related with bounded positive real part

In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.

Coefficient bounds for p-valent functions

Sharp bounds for japþ2 lapþ1j and jap+3j are derived for certain p-valent analytic functions. These are applied to obtain Fekete-Szegö like inequalities for several classes of functions defined by convolution. 2006 Elsevier Inc. All rights reserved.

Certain Coefficient Bounds for p-Valent Functions

An estimate for spherically p-valent functions

This class is related to mean p-valent holomorphic functions as defined in [1]. Theorem 1. The family of all spherically p-valent functions in a region D is quasinormal of order p in D. Proof. We may assume without loss of generality that D is the unit disc. Let fn be a sequence of spherically p-valent functions. Write fn = gn/hn so that gn and hn have no common zeros. Let un = log √ |gn|2 + |h...

Coefficient Inequalities for a Subclass of p-Valent Analytic Functions

The aim of this paper is to study the problem of coefficient bounds for a newly defined subclass of p-valent analytic functions. Many known results appear as special consequences of our work.