HADAMARD PRODUCT AND A SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS

In the present paper, authors introduce a new subclass TRg (λ, γ) of the class of analytic functions with negative coefficients, defined by convolution and obtain coefficient estimates, growth and distortion theorems, closure properties, radii of close-to-convexity, starlikeness and radius of convexity of functions belonging to this class. Furthermore, the effect of Bernardi operator on functions of TRg (λ, γ) is determined.