On certain analytic functions of bounded boundary rotation

Details On certain analytic functions of bounded boundary rotation On certain analytic functions of bounded boundary rotation

2009-10-20

arxiv.org/abs/0910.3787v1

Mathematics

Complex Variables

9 pages. To appear as book chapter in "Inequality Theory and Application". Eds: S. S. Dragomir and Y. J. Cho

Scientific paper

In this paper we introduce certain analytic functions of boundary rotation
bounded by $k\pi$ which are of Caratheodory origin. With them we study two
classes of analytic and univalent functions in the unit disk $E=\{z\in
\mathbb{C}\colon |z|<1\}$, which are also of bounded boundary rotation.

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