On analytic functions with generalized bounded Mocanu variation

摘要

In this paper, we introduce and study a class of normalized analytic functions defined in the open unit disc. This class contains several known classes of analytic functions such as those of functions with bounded boundary rotation, bounded radius rotation and bounded Mocanu variation. It also generalizes the concept of Bazilevic functions in some sense. Inclusion results, arclength problem, coefficient bounds and distortion results with some other properties of this class are investigated.