Analytic Functions of Complex Order Defined by Fractional Integrals Involving Foxs H-functions

摘要

We introduced certain new subclasses of analytic functions of complex order defined by fractional integrals involving Fox’s H-functions in the unit disc and investigate the various properties and characteristics of analytic functions belonging to the subclasses Sn(l,b,g). We also defined an another subclass Rn(l,b,g) involving Fox’s H- functions. Apart from deriving a set of coefficient bounds for each of these function classes, we establish several inclusion relationships involving the (n, d) — neighbourhoods of analytic functions with negative coefficients belonging to these subclasses.