Certain integrals for classes of p-valent meromorphic functions

Abstract

In this paper we introduce two classes, namely Γp(m, M) and Σp(m, M), of functionsregular and p-valent in D − {0} where D = {z : |z| < 1}. We show that, for suitable choices of real constants α, β and γ, the integral operators of the formmap into , where is the class of p-valent meromorphically starlike functions of order ρ, 0 ≤ ρ < 1. For the classes Γp(m, M) and Σp(m, M), we obtain class preserving integral operators of the formwith suitable restrictions on real constants α and γ.Our results generalize almost all known results obtained so far in this direction.