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 questio...
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Format: | Article |
Language: | English |
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Vilnius University Press
2001-12-01
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Series: | Nonlinear Analysis |
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Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/15214 |