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Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives |
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| Authors: | Yong Chan Kim |
| Affiliation: | a Department of Mathematics Education, Yeungnam University, 214-1 Daedong, Gyongsan 712-749, South Korea b Department of Mathematics, Indian Institute of Technology, IIT-Madras, Chennai 600 036, India c Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima 739-8526, Japan |
| Abstract: | In this paper, nonlinear integral operators on normalized analytic functions in the unit disk are investigated in connection with the pre-Schwarzian derivative and the Hornich operation. In particular, several nontrivial relations between these operators and the class of strongly starlike functions will be deduced. |
| Keywords: | Univalent function Integral transform Hornich operation Teichmü ller space |
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