On certain inequalities for some regular functions in | z | < 1

Milutin Obradovic

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-5

Abstract:

In this paper we give some inequalities for regular functions f ( z ) = z + a 2 z 2 + … in | z | < 1 especially for starlike and convex functions of order α , 0 ≤ α < 1 , To some extent those inequalities are the generalisations and improvements of the previous results given by Bernardi [1]. Some interesting consequences are given, too.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:523969

DOI: 10.1155/S0161171285000746

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