HIKARI Ltd, www.m-hikari.com On a New Subclass of Meromorphically Multivalent Functions Defined by Linear Operator

Copyright c © 2013 Ali Hussein Battor et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribu-tion, and reproduction in any medium, provided the original work is properly cited. Making use a linear operator, which is defined here by the convolu-tion (or Hadamard product) involving the generalized hypergeometric function, we discuss the new subclass Σ∗p(q, s, α1, σ) of meromorphically multivalent functions with negative coefficients in the punctured unit disk U∗. In the present paper, we attempt to give the various important properties of this new subclass Σ∗p(q, s, α1, σ), like, coefficient inequality, convex set, growth and distortion bounds. We also derive some interest-ing results of our class, like, integral representation, neighborhoods of the class Σ∗p(q, s, α1, σ), radii of starlikeness and convexity and integral operator