Classes of Harmonic Functions Defined by Subordination
New classes of univalent harmonic functions are introduced. We give sufficient coefficient conditions for these classes. These coefficient conditions are shown to be also necessary if certain restrictions are imposed on the coefficients of these harmonic functions. By using extreme points theory we...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/756928 |
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| _version_ | 1832553275377844224 |
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| author | Jacek Dziok |
| author_facet | Jacek Dziok |
| author_sort | Jacek Dziok |
| collection | DOAJ |
| description | New classes of univalent harmonic functions are introduced. We give sufficient coefficient conditions for these classes. These coefficient conditions are shown to be also necessary if certain restrictions are imposed on the coefficients of these harmonic functions. By using extreme points theory we also obtain coefficients estimates, distortion theorems, and integral mean inequalities for these classes of functions. Radii of convexity and starlikeness of the classes are also considered. |
| format | Article |
| id | doaj-art-8cd99ccc8b5b4c07b04536a8b5330f69 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8cd99ccc8b5b4c07b04536a8b5330f692025-02-03T05:54:22ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/756928756928Classes of Harmonic Functions Defined by SubordinationJacek Dziok0Faculty of Mathematics and Natural Sciences, University of Rzeszów, Ulica Prof. Stanisława Pigonia 1, 35-310 Rzeszów, PolandNew classes of univalent harmonic functions are introduced. We give sufficient coefficient conditions for these classes. These coefficient conditions are shown to be also necessary if certain restrictions are imposed on the coefficients of these harmonic functions. By using extreme points theory we also obtain coefficients estimates, distortion theorems, and integral mean inequalities for these classes of functions. Radii of convexity and starlikeness of the classes are also considered.http://dx.doi.org/10.1155/2015/756928 |
| spellingShingle | Jacek Dziok Classes of Harmonic Functions Defined by Subordination Abstract and Applied Analysis |
| title | Classes of Harmonic Functions Defined by Subordination |
| title_full | Classes of Harmonic Functions Defined by Subordination |
| title_fullStr | Classes of Harmonic Functions Defined by Subordination |
| title_full_unstemmed | Classes of Harmonic Functions Defined by Subordination |
| title_short | Classes of Harmonic Functions Defined by Subordination |
| title_sort | classes of harmonic functions defined by subordination |
| url | http://dx.doi.org/10.1155/2015/756928 |
| work_keys_str_mv | AT jacekdziok classesofharmonicfunctionsdefinedbysubordination |