# Hornich Operations on Functions of Bounded Boundary Rotations and Order $$\alpha$$ α

Hornich Operations on Functions of Bounded Boundary Rotations and Order $$\alpha$$ α 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

# Hornich Operations on Functions of Bounded Boundary Rotations and Order $$\alpha$$ α

, Volume 19 (3) – May 27, 2019
18 pages

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Publisher
Springer Journals
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-019-00276-x
Publisher site
See Article on Publisher Site

### 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.

### Journal

Computational Methods and Function TheorySpringer Journals

Published: May 27, 2019

### References

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