On certain analytic functions of bounded boundary rotation

K. O. Babalola

On certain analytic functions of bounded boundary rotation

Complex Variables 2009-10-21 v1

Authors: K. O. Babalola

Abstract

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.

Keywords

univalent functions special functions

Cite

@article{arxiv.0910.3787,
  title  = {On certain analytic functions of bounded boundary rotation},
  author = {K. O. Babalola},
  journal= {arXiv preprint arXiv:0910.3787},
  year   = {2009}
}

Comments

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

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