KIM, Yong Chan, S. PONNUSAMY and SUGAWA, Toshiyuki

Mapping properties of nonlinear integral operators and pre-Schwarzian derivatives


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 non-trivial relations between these operators and the class of strongly starlike functions will be deduced.

submission: 23 April, 2002
revision: 5 Septermber, 2002
revision: 23 February, 2004

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