A unified class of analytic functions associated with Erdely–Kober type integral operator

Making use of convolution product, we introduce a unified class of analytic functions with negative coefficients. Also, we obtain the coefficient bounds, extreme points and radius of starlikeness for functions belonging to the generalized class T Pa,c ϑ,τ (α, β). Furthermore, partial sums fk(z) of functions f(z) in the class Pa,c ϑ,τ (α, β) are considered and sharp lower bounds for the ratios of real part of f(z) to fk(z) and f′(z) to f′k (z) are determined. Relevant connections of the results with various known results are also considered.