On the class of harmonic mappings which is related to the class of bounded boundary rotation

Abstract

The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class Vk. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation.