SOME PROPERTIES OF SUBCLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS

The object of the present paper is to define a new subclass T ^ζ _m,λ(A,B, γ) of analytic functions whose non-negative coefficients from the second onwards are negative by using the differential operator D^ζ _m,λ. We derive some interesting properties like coefficient inequalities, distortion bounds, convolution conditions and a result which unifies radii of close-to-convexity, starlikeness and convexity.