A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions
The purpose of the present paper is to establish some new results giving the sharp bounds of the real parts of ratios of harmonic univalent functions to their sequences of partial sums by using convolution. Relevant connections of the results presented here with various known results are briefly ind...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/509349 |
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| _version_ | 1832548733013721088 |
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| author | Saurabh Porwal |
| author_facet | Saurabh Porwal |
| author_sort | Saurabh Porwal |
| collection | DOAJ |
| description | The purpose of the present paper is to establish some new results giving the sharp bounds of the real parts of ratios of harmonic univalent functions to their sequences of partial sums by using convolution. Relevant connections of the results presented here with various known results are briefly indicated. |
| format | Article |
| id | doaj-art-73ea2a666bf545f680c0d1f64f85e78d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-73ea2a666bf545f680c0d1f64f85e78d2025-02-03T06:13:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/509349509349A Convolution Approach on Partial Sums of Certain Harmonic Univalent FunctionsSaurabh Porwal0Department of Mathematics, UIET Campus, CSJM University, Kanpur 208024, IndiaThe purpose of the present paper is to establish some new results giving the sharp bounds of the real parts of ratios of harmonic univalent functions to their sequences of partial sums by using convolution. Relevant connections of the results presented here with various known results are briefly indicated.http://dx.doi.org/10.1155/2012/509349 |
| spellingShingle | Saurabh Porwal A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions International Journal of Mathematics and Mathematical Sciences |
| title | A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions |
| title_full | A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions |
| title_fullStr | A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions |
| title_full_unstemmed | A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions |
| title_short | A Convolution Approach on Partial Sums of Certain Harmonic Univalent Functions |
| title_sort | convolution approach on partial sums of certain harmonic univalent functions |
| url | http://dx.doi.org/10.1155/2012/509349 |
| work_keys_str_mv | AT saurabhporwal aconvolutionapproachonpartialsumsofcertainharmonicunivalentfunctions AT saurabhporwal convolutionapproachonpartialsumsofcertainharmonicunivalentfunctions |