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In this paper, we consider the class of functions of bounded boundary rotation and some generalizations and refinements of the class. We will see that several results can be understood… Click to show full abstract
In this paper, we consider the class of functions of bounded boundary rotation and some generalizations and refinements of the class. We will see that several results can be understood more naturally by introducing the Hornich operations to these classes. In this context, we are particularly interested in linear integral transformations involving the Gauss hypergeometric function. We apply these ideas to the study of actions on those classes and univalence properties of our transformations.
Keywords:
bounded boundary;
functions bounded;
hornich operations;
rotations order;
boundary rotations;
operations functions
Journal Title: Computational Methods and Function Theory
Year Published: 2019
Link to full text (if available)
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Journal Title: Computational Methods and Function Theory
Year Published: 2019
Link to full text (if available)
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recommendations!