Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives

By Yong Chan Kim, Saminathan Ponnusamy, T. Sugawa. 2004

49 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/907aa18b69131afab24d0ff73ef639ee463d51d6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Saminathan Ponnusamy
2. Ilgiz R. Kayumov
3. A. Ismagilov
4. Zhihong Liu
5. V. Allu
6. H. Halder
7. Karl-Joachim Wirths
8. 'Arp'ad Baricz

In Geometry and Topology

1. Saminathan Ponnusamy
2. 'Arp'ad Baricz
3. V. Allu
4. H. Halder

Citations in the corpus

• Region of variability of two subclasses of univalent functions (2007, background): “For recent investigations on the quantity ‖f ‖ when f runs over various subclasses of locally univalent functions, we refer to [2,6].”