COEFFICIENT BOUNDS FOR MEROMORPHIC P-VALENT FUNCTIONS

B. Srutha Keerthi (India), B. Adolf Stephen (India), A. Gangadharan (India) and S. Sivasubramanian (India)

Received March 13, 2007

Abstract

In this present investigation, the authors obtain coefficient bounds for the functional  for certain subclasses of meromorphic p-valent functions  defined on the open punctured unit disk satisfying where  is an analytic function with positive real part in the unit disk D with  and  that maps D onto a region starlike with respect to ‘1’ and symmetric with respect to real axis. As a particular case, the coefficient bounds for  in the above said class is discussed. Also, as an application of these results, coefficient bounds for classes of functions defined through Ruscheweyh derivatives are obtained.

Keywords and phrases: meromorphic functions, starlike functions, p-valent functions, subordination, Ruscheweyh derivatives.