On the order of convolution consistence of the analytic functions with negative coefficients
Making use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we define the order of convolution consistence o...
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Institute of Mathematics of the Czech Academy of Science
2017-12-01
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| Series: | Mathematica Bohemica |
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| Online Access: | http://mb.math.cas.cz/full/142/4/mb142_4_4.pdf |
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doaj-e7f4ab39221e4ef7b9c4ce98c572aa672020-11-25T02:30:05ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362017-12-01142438138610.21136/MB.2017.0019-15MB.2017.0019-15On the order of convolution consistence of the analytic functions with negative coefficientsGrigore S. SălăgeanAdela VenterMaking use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we define the order of convolution consistence of three classes of functions and determine a given analytic function for certain classes of analytic functions with negative coefficients.http://mb.math.cas.cz/full/142/4/mb142_4_4.pdf analytic function with negative coefficients univalent function extreme point order of convolution consistence starlikeness convexity |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Grigore S. Sălăgean Adela Venter |
| spellingShingle |
Grigore S. Sălăgean Adela Venter On the order of convolution consistence of the analytic functions with negative coefficients Mathematica Bohemica analytic function with negative coefficients univalent function extreme point order of convolution consistence starlikeness convexity |
| author_facet |
Grigore S. Sălăgean Adela Venter |
| author_sort |
Grigore S. Sălăgean |
| title |
On the order of convolution consistence of the analytic functions with negative coefficients |
| title_short |
On the order of convolution consistence of the analytic functions with negative coefficients |
| title_full |
On the order of convolution consistence of the analytic functions with negative coefficients |
| title_fullStr |
On the order of convolution consistence of the analytic functions with negative coefficients |
| title_full_unstemmed |
On the order of convolution consistence of the analytic functions with negative coefficients |
| title_sort |
on the order of convolution consistence of the analytic functions with negative coefficients |
| publisher |
Institute of Mathematics of the Czech Academy of Science |
| series |
Mathematica Bohemica |
| issn |
0862-7959 2464-7136 |
| publishDate |
2017-12-01 |
| description |
Making use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we define the order of convolution consistence of three classes of functions and determine a given analytic function for certain classes of analytic functions with negative coefficients. |
| topic |
analytic function with negative coefficients univalent function extreme point order of convolution consistence starlikeness convexity |
| url |
http://mb.math.cas.cz/full/142/4/mb142_4_4.pdf |
| work_keys_str_mv |
AT grigoressalagean ontheorderofconvolutionconsistenceoftheanalyticfunctionswithnegativecoefficients AT adelaventer ontheorderofconvolutionconsistenceoftheanalyticfunctionswithnegativecoefficients |
| _version_ |
1724830041470140416 |