Abstract
In this paper, we define two subclasses S* (alpha, m, delta, p, q, lambda, gamma, beta) and K (alpha, m, delta, p, q, lambda, gamma, beta) of strongly starlike and strongly convex functions of order beta and type gamma by using the linear q-differential Borel operator. We also derive some interesting properties, such as inclusion relationships of these classes and the integral operator J(mu,p).