A Certain Subclass of Meromorphically Multivalent Analytic Functions with Negative Coefficients

Abstract

The paper aims to introduce a certain subclass S^*_g(A,B,α,p,j) of the class Σ^*(p) of meromorphically multivalent functions with negative coefficients, defined by using the definitions of Hadamard product and subordination for two functions belong to the class Σ^*(p). We first investigate the geometric characterization property, giving the coefficient estimates for functions in the class S^*_g(A,B,α,p,j). We also obtain the distortion theorem, radii of meromorphically p-valent starlikeness and convexity of order (0≤γ<p), neighborhood property, partial sums, convolution properties as well as integral operator and integral representation.