Subclasses of κ--uniformly starlike and κ--uniformly Convex functions associated with Pascal distribution series

The purpose of the present paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in some subclasses of analytic univalent functions of κ--starlike and κ--uniformly convex functions of order ϑ in the open unit disk U. Further, we consider an integral operator related to Pascal distribution series, and several corollaries and consequences of the main results are also considered.

کلیدواژه ها:

univalent ، starlike ، Convex ، Uniformly Starlike functions ، Uniformly Convex functions ، Hadamard product ، Pascal distribution series