On a characterization of starlike functions with respect to (2ȷ,ℓ)-symmetric conjugate points

Abstract

In this paper, we introduce and study a new subclass of starlike functions with respect to [Formula: see text]-symmetric conjugate points using the principle of subordination. Several relationship with the well-known classes have been established. We have focussed on conic regions when it pertained to applications of our main results. Inclusion results, subordination property and coefficient inequality of the defined class are the main results of this paper. The applications of the results are presented here as corollaries, most of which are extensions of well-known results.