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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-d06bd9896a244f2d9307d8d674458537 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
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 |