Majorization problem for general family of functions with bounded radius rotations

Abstract

In this article, we study the majorization problem for the general class of functions with bounded radius rotation, which the authors introduced here. Furthermore, the coefficient bound for majorized functions associated with this class is derived. Consequently, we present new results as corollaries and point out relevant connections between the main results obtained from the ones in the literature.

Keywords

• Function of bounded radius rotation
• majorization
• starlike function
• subordination
• 30C45
• 30C80