A study on certain class of harmonic functions of complex order associated with convolution
In this paper, we introduce a new class of harmonic functions of complex order associated with convolution. We also derive the coefficient inequality, distortion theorem, extreme points, convolution conditions and convex combination for this class.<br /><br /><br /><br />
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2012-11-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/991 |
| _version_ | 1819277331191037952 |
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| author | M. K. Aouf A. O. Mostafa A. A. Shamandy A. K. Wagdy |
| author_facet | M. K. Aouf A. O. Mostafa A. A. Shamandy A. K. Wagdy |
| author_sort | M. K. Aouf |
| collection | DOAJ |
| description | In this paper, we introduce a new class of harmonic functions of complex order associated with convolution. We also derive the coefficient inequality, distortion theorem, extreme points, convolution conditions and convex combination for this class.<br /><br /><br /><br /> |
| first_indexed | 2024-12-23T23:54:25Z |
| format | Article |
| id | doaj.art-e11967226adb49e687095ea0849b6167 |
| institution | Directory Open Access Journal |
| issn | 0373-3505 2037-5298 |
| language | English |
| last_indexed | 2024-12-23T23:54:25Z |
| publishDate | 2012-11-01 |
| publisher | Università degli Studi di Catania |
| record_format | Article |
| series | Le Matematiche |
| spelling | doaj.art-e11967226adb49e687095ea0849b61672022-12-21T17:25:18ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982012-11-01672169183836A study on certain class of harmonic functions of complex order associated with convolutionM. K. AoufA. O. MostafaA. A. ShamandyA. K. WagdyIn this paper, we introduce a new class of harmonic functions of complex order associated with convolution. We also derive the coefficient inequality, distortion theorem, extreme points, convolution conditions and convex combination for this class.<br /><br /><br /><br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/991HarmonicSense-preservingComplex orderConvolution |
| spellingShingle | M. K. Aouf A. O. Mostafa A. A. Shamandy A. K. Wagdy A study on certain class of harmonic functions of complex order associated with convolution Le Matematiche Harmonic Sense-preserving Complex order Convolution |
| title | A study on certain class of harmonic functions of complex order associated with convolution |
| title_full | A study on certain class of harmonic functions of complex order associated with convolution |
| title_fullStr | A study on certain class of harmonic functions of complex order associated with convolution |
| title_full_unstemmed | A study on certain class of harmonic functions of complex order associated with convolution |
| title_short | A study on certain class of harmonic functions of complex order associated with convolution |
| title_sort | study on certain class of harmonic functions of complex order associated with convolution |
| topic | Harmonic Sense-preserving Complex order Convolution |
| url | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/991 |
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