CERTAIN CLASSES OF MEROMORPHIC FUNCTIONS WITH POSITIVE AND MISSING COEFFICIENTS

The main object of the present paper is to introduce certain novel sub classes of meromorphic functions with positive and missing coefficient s and investigate their basic properties including, for example, coeff icient estimates, distortion theorem, and the radii of starlikeness an d convexity. It is also proved that one of the classes (considered her e) is closed under convex linear combinations. The various results obt ained in this paper are shown to be sharp. (C) 1995 Academic Press, In c.