A Unified Class of Analytic Functions with Negative Coefficients Involving the Hurwitz-lerch Zeta Function (dedicated in Occasion of the 65-years of Professor

نویسنده

  • R. K. RAINA
چکیده

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 TP ( , ). Furthermore, partial sums fk(z) of functions f(z) in the class P  ( , ) 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.

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تاریخ انتشار 2009