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In this Paper a family S(,,µ,p) of p-valent analytic functions involving fractional calculus operator µ,p is studied and a sufficient coefficient condition for functions belonging to the family S(,,µ,p) is proved and it is shown that this coefficient condition is necessary for its subfamily TS(,,µ,p). Coefficient estimate, growth theorem and results on partial s ums are obtained for the family S(,,µ,p). Also an integral inequality is proved for functions belonging to the family TS(,,µ,p).

A FAMILY OF p-VALENT ANALYTIC FUNCTIONS DEFINED BY A FRACTIONAL CALCULUS OPERATOR