SOME APPLICATIONS OF DIFFERENTIAL SUBORDINATION FOR A GENERAL CLASS OF MULTIVALENTLY ANALYTIC FUNCTIONS INVOLVING A CONVOLUTION STRUCTURE
2010
In the present paper we investigate a class of multivalently analytic functions which essentially involves a Hadamard product of two multivalent functions. We apply the techniques of differential subordination and derive some useful characteristics of this function class. The
applications to generalized hypergeometric functions and various consequences of the main results exhibiting also relevant connections with
some of the known (and new) results (including also an improved version
of a known result) are also pointed out.
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