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On Generalized Spiral-like Analytic Functions

In this paper, we use the concept of bounded Mocanu variation to introduce a new class of analytic functions, defined in the open unit disc, which unifies a number of classes previously studied such as those of functions with bounded radius rotation and bounded Mocanu variation. It also generalizes the concept of -spiral likeness in some sense. Some interesting properties of this class including inclusion results, arclength problems and a su cient condition for univalency are studied.