On certain analytic functions of bounded boundary rotation

2009/10/20 by K. O. Babalola, Babalola, K. O.
Mathematics · #30C45 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:30C45

paper · pdf · doi:10.48550/arxiv.0910.3787

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

arxiv created 2009/10/20 · openalex publication_date 2009/10/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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