Argument Property for Certain Analytic Functions

Let P be the class of functions p(z) of the form ∑𝑝(𝑧)=1+∞𝑛=1𝑐𝑛𝑧𝑛 which are analytic in the open unit disk 𝑈={𝑧∶|𝑧|<1}. The object of the present paper is to derive certain argument inequalities of analytic functions p(z) in P.

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Main Authors: Qing Yang, Jin-Lin Liu
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/391038
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author Qing Yang
Jin-Lin Liu
author_facet Qing Yang
Jin-Lin Liu
author_sort Qing Yang
collection DOAJ
description Let P be the class of functions p(z) of the form ∑𝑝(𝑧)=1+∞𝑛=1𝑐𝑛𝑧𝑛 which are analytic in the open unit disk 𝑈={𝑧∶|𝑧|<1}. The object of the present paper is to derive certain argument inequalities of analytic functions p(z) in P.
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series Abstract and Applied Analysis
spelling doaj-art-d06bd9896a244f2d9307d8d6744585372025-02-03T01:26:00ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/391038391038Argument Property for Certain Analytic FunctionsQing Yang0Jin-Lin Liu1Department of Mathematics, Yangzhou University, Yangzhou 225002, ChinaDepartment of Mathematics, Yangzhou University, Yangzhou 225002, ChinaLet P be the class of functions p(z) of the form ∑𝑝(𝑧)=1+∞𝑛=1𝑐𝑛𝑧𝑛 which are analytic in the open unit disk 𝑈={𝑧∶|𝑧|<1}. The object of the present paper is to derive certain argument inequalities of analytic functions p(z) in P.http://dx.doi.org/10.1155/2012/391038
spellingShingle Qing Yang
Jin-Lin Liu
Argument Property for Certain Analytic Functions
Abstract and Applied Analysis
title Argument Property for Certain Analytic Functions
title_full Argument Property for Certain Analytic Functions
title_fullStr Argument Property for Certain Analytic Functions
title_full_unstemmed Argument Property for Certain Analytic Functions
title_short Argument Property for Certain Analytic Functions
title_sort argument property for certain analytic functions
url http://dx.doi.org/10.1155/2012/391038
work_keys_str_mv AT qingyang argumentpropertyforcertainanalyticfunctions
AT jinlinliu argumentpropertyforcertainanalyticfunctions