Certain Classes of Meromorphic Functions with Positive and Missing Coefficients

The main object of the present paper is to introduce certain novel subclasses of meromorphic functions with positive and missing coefficients and investigate their basic properties including, for example, coefficient estimates, distortion theorem, and the radii of starlikeness and convexity. It is also proved that one of the classes (considered here) is closed under convex linear combinations. The various results obtained in this paper are shown to be sharp.