On the Existence of Functions being Univalent in Half-plane together with their Derivatives

In articles [1]-[3] a class of functions being univalent in unit disc with all their derivatives was investigated. It was proved such functions exist and must be the entire functions of exponential type. The example of such a function is an exponential function z f (z) = e . In this work the questi...

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Bibliographic Details
Main Author: J. Kirjackis
Format: Article
Language:English
Published: Vilnius University Press 2001-12-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15214