Coefficient Estimates and Other Properties for a Class of Spirallike Functions Associated with a Differential Operator
For , , , , and , a new class of analytic functions defined by means of the differential operator is introduced. Our main object is to provide sharp upper bounds for Fekete-Szegö problem in . We also find sufficient conditions for a function to be in this class. Some interesting consequences of ou...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/415319 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548664615108608 |
|---|---|
| author | Halit Orhan Dorina Răducanu Murat Çağlar Mustafa Bayram |
| author_facet | Halit Orhan Dorina Răducanu Murat Çağlar Mustafa Bayram |
| author_sort | Halit Orhan |
| collection | DOAJ |
| description | For , , , , and , a new class of analytic functions defined by means of the differential operator is introduced. Our main object is to provide sharp upper bounds for Fekete-Szegö problem in . We also find sufficient conditions for a function to be in this class. Some interesting
consequences of our results are pointed out. |
| format | Article |
| id | doaj-art-2a20c09eb14243039be7865d790b7517 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2a20c09eb14243039be7865d790b75172025-02-03T06:13:21ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/415319415319Coefficient Estimates and Other Properties for a Class of Spirallike Functions Associated with a Differential OperatorHalit Orhan0Dorina Răducanu1Murat Çağlar2Mustafa Bayram3Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum, TurkeyDepartment of Mathematics, Faculty of Mathematics and Computer Science, Transylvania University of Braşov, Iuliu Maniu 50, 50091 Braşov, RomaniaDepartment of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum, TurkeyDepartment of Mathematical Engineering, Faculty of Chemical and Metallurgical Engineering, Yildiz Technical University, Davutpasa, 34210 Istanbul, TurkeyFor , , , , and , a new class of analytic functions defined by means of the differential operator is introduced. Our main object is to provide sharp upper bounds for Fekete-Szegö problem in . We also find sufficient conditions for a function to be in this class. Some interesting consequences of our results are pointed out.http://dx.doi.org/10.1155/2013/415319 |
| spellingShingle | Halit Orhan Dorina Răducanu Murat Çağlar Mustafa Bayram Coefficient Estimates and Other Properties for a Class of Spirallike Functions Associated with a Differential Operator Abstract and Applied Analysis |
| title | Coefficient Estimates and Other Properties for a Class of
Spirallike Functions Associated with a Differential Operator |
| title_full | Coefficient Estimates and Other Properties for a Class of
Spirallike Functions Associated with a Differential Operator |
| title_fullStr | Coefficient Estimates and Other Properties for a Class of
Spirallike Functions Associated with a Differential Operator |
| title_full_unstemmed | Coefficient Estimates and Other Properties for a Class of
Spirallike Functions Associated with a Differential Operator |
| title_short | Coefficient Estimates and Other Properties for a Class of
Spirallike Functions Associated with a Differential Operator |
| title_sort | coefficient estimates and other properties for a class of spirallike functions associated with a differential operator |
| url | http://dx.doi.org/10.1155/2013/415319 |
| work_keys_str_mv | AT halitorhan coefficientestimatesandotherpropertiesforaclassofspirallikefunctionsassociatedwithadifferentialoperator AT dorinaraducanu coefficientestimatesandotherpropertiesforaclassofspirallikefunctionsassociatedwithadifferentialoperator AT muratcaglar coefficientestimatesandotherpropertiesforaclassofspirallikefunctionsassociatedwithadifferentialoperator AT mustafabayram coefficientestimatesandotherpropertiesforaclassofspirallikefunctionsassociatedwithadifferentialoperator |