In the present paper, we introduce a general integral operator and study mapping properties on some subclasses of analytic univalent functions. Relevant connections of the results presented here with various known results are briefly indicated. 2000 Mathematics Subject Classification: 30C45.

In this short note we apply certain iteration of the Janowski functions to estimate the integral means of some analytic and univalent mappings of |z| < 1. Our method of proof follows an earlier one due to Leung [4].

A recent result of Yalcin [9] appeared in Applied Mathematics Letters (2005), concerning the convolution of two harmonic univalent functions in class SH(m,n, α) is improved. AMS (MOS) Subject Classification Codes: 30C45

This paper aims to introduce a measure of the non-univalency harmonic mapping. By using it, we find best approximation an analytic function by univalent

In this work some distortion theorems and relations between the coefficients of normalized univalent harmonic mappings from the unit disc onto domains on the direction of imaginary axis are obtained.

In this paper, we obtain initial coefficient bounds for functions belong to a comprehensive subclass of univalent functions by using the Chebyshev polynomials and also we find Fekete-Szegö inequalities for this class. All results are sharp.

In this paper, we consider two general p-valent integral operators for certain analytic functions in the unit disc U and give some properties for these integral operators on some classes of univalent functions.