Generalised class of starlike functions of Koebe type with complex order

Abstract

In this paper, we investigate some results on subordination, superordination, best dominant result and the sandwich theorem of the new class Hb    , ,  of analytic functions with Koebe type. Further, by making use of Jack’s Lemma as well as several differential and other inequalities, sufficient condition for starlikeness of the class Hb    , ,  of n-fold symmetric analytic functions of Koebe type is derived. Relevant connections of the results presented here with those given in earlier works are also indicated.