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In this paper, we discuss the p-valent functions that satisfy the differential subordinations z(Ip(r,λ)f(z))(j+1) (p−j)(Ip(r,λ)f(z))(j) ≺ a+(aB+(A−B)β)z a(1+Bz) . We also obtain coefficient inequalities, extreme points, integral representation and arithmetic mean. Further we investigate some interesting properties of operators defined on Ap(r, j, β, a, A, B).

ON CERTAIN CLASSES OF P-VALENT FUNCTIONS DEFINED BY MULTIPLIER TRANSFORMATION AND DIFFERENTIAL OPERATOR