Abstract In this paper we have introduced a new class S∗(α, p, λ, β) of analytic and p-valent functions in the unit disc U = {z : |z| < 1} and obtain some sharp results including coefficient estimates, closure theorems, distortion theorem, integral operators and some results for convolution of functions in the class S∗(α, p, λ, β). Also we define some… (More)