Coefficient Bounds for Certain Subclasses of Bi-Univalent Function
We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses. Also consequences of the results are pointed out.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/573017 |
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| author | G. Murugusundaramoorthy N. Magesh V. Prameela |
| author_facet | G. Murugusundaramoorthy N. Magesh V. Prameela |
| author_sort | G. Murugusundaramoorthy |
| collection | DOAJ |
| description | We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses. Also consequences of the results are pointed out. |
| format | Article |
| id | doaj-art-d72b544f1e474616888ff0927867ccbf |
| 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-d72b544f1e474616888ff0927867ccbf2025-02-03T01:31:56ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/573017573017Coefficient Bounds for Certain Subclasses of Bi-Univalent FunctionG. Murugusundaramoorthy0N. Magesh1V. Prameela2School of Advanced Sciences, VIT University, Vellore, Tamil Nadu 632014, IndiaPG and Research Department of Mathematics, Government Arts College (Men), Krishnagiri, Tamil Nadu 635001, IndiaDepartment of Mathematics, Adhiyamaan College of Engineering (Autonomous), Hosur, Tamil Nadu 635109, IndiaWe introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses. Also consequences of the results are pointed out.http://dx.doi.org/10.1155/2013/573017 |
| spellingShingle | G. Murugusundaramoorthy N. Magesh V. Prameela Coefficient Bounds for Certain Subclasses of Bi-Univalent Function Abstract and Applied Analysis |
| title | Coefficient Bounds for Certain Subclasses of Bi-Univalent Function |
| title_full | Coefficient Bounds for Certain Subclasses of Bi-Univalent Function |
| title_fullStr | Coefficient Bounds for Certain Subclasses of Bi-Univalent Function |
| title_full_unstemmed | Coefficient Bounds for Certain Subclasses of Bi-Univalent Function |
| title_short | Coefficient Bounds for Certain Subclasses of Bi-Univalent Function |
| title_sort | coefficient bounds for certain subclasses of bi univalent function |
| url | http://dx.doi.org/10.1155/2013/573017 |
| work_keys_str_mv | AT gmurugusundaramoorthy coefficientboundsforcertainsubclassesofbiunivalentfunction AT nmagesh coefficientboundsforcertainsubclassesofbiunivalentfunction AT vprameela coefficientboundsforcertainsubclassesofbiunivalentfunction |