A class of analytic functions based on convolution
We introduce a class <I>TS</I><SUB>p</SUB><SUP>g</SUP>(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z)=z+<I>Σ</I><SUB>n=2</SUB><SUP>∞</SUP>b<SUB>n</SUB>z...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2010-09-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v05/p21.pdf |
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| author | H. Silverman K.G. Subramanian R. Thirumalaisamy T.V. Sudharsan |
| author_facet | H. Silverman K.G. Subramanian R. Thirumalaisamy T.V. Sudharsan |
| author_sort | H. Silverman |
| collection | DOAJ |
| description | We introduce a class <I>TS</I><SUB>p</SUB><SUP>g</SUP>(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z)=z+<I>Σ</I><SUB>n=2</SUB><SUP>∞</SUP>b<SUB>n</SUB>z<SUP>n</SUP>, b<SUB>n</SUB>>0, |z|<1. We obtain the coefficient inequality, coefficient estimate, distortion theorem, a convolution result, extreme points and integral representation for functions in the class <I>TS</I><SUB>p</SUB><SUP>g</SUP>(α). |
| first_indexed | 2024-04-13T12:38:31Z |
| format | Article |
| id | doaj.art-b57a2acc48844ed2a2f7423a22292364 |
| institution | Directory Open Access Journal |
| issn | 1843-7265 1842-6298 |
| language | English |
| last_indexed | 2024-04-13T12:38:31Z |
| publishDate | 2010-09-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-b57a2acc48844ed2a2f7423a222923642022-12-22T02:46:35ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982010-09-015 (2010)285295A class of analytic functions based on convolutionH. SilvermanK.G. SubramanianR. ThirumalaisamyT.V. SudharsanWe introduce a class <I>TS</I><SUB>p</SUB><SUP>g</SUP>(α) of analytic functions with negative coefficients defined by convolution with a fixed analytic function g(z)=z+<I>Σ</I><SUB>n=2</SUB><SUP>∞</SUP>b<SUB>n</SUB>z<SUP>n</SUP>, b<SUB>n</SUB>>0, |z|<1. We obtain the coefficient inequality, coefficient estimate, distortion theorem, a convolution result, extreme points and integral representation for functions in the class <I>TS</I><SUB>p</SUB><SUP>g</SUP>(α).http://www.utgjiu.ro/math/sma/v05/p21.pdf Analytic functionsStarlike functionsConvolution |
| spellingShingle | H. Silverman K.G. Subramanian R. Thirumalaisamy T.V. Sudharsan A class of analytic functions based on convolution Surveys in Mathematics and its Applications Analytic functions Starlike functions Convolution |
| title | A class of analytic functions based on convolution |
| title_full | A class of analytic functions based on convolution |
| title_fullStr | A class of analytic functions based on convolution |
| title_full_unstemmed | A class of analytic functions based on convolution |
| title_short | A class of analytic functions based on convolution |
| title_sort | class of analytic functions based on convolution |
| topic | Analytic functions Starlike functions Convolution |
| url | http://www.utgjiu.ro/math/sma/v05/p21.pdf |
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