On normalized Rabotnov function associated with two subclasses of analytic functions with positive coefficients

Let R?,? (z) = z + ?  n=2 ?n?1(1+?) ((1+?)n) zn be the normalized Rabotnov functions. The purpose of the present paper is to determine necessary and sufficient conditions and inclusion relation for the normalized Rabotnov function R?,? (z) to be in two subclasses of analytic functions with positive coefficients. Further, we consider an integral operator related to the Rabotnov function R?,? (z). Several examples of the main results are also considered.