On Subclasses of Analytic Functions with respect to Symmetrical Points
In our present investigation, motivated from Noor work, we define the class ℛks(b) of functions of bounded radius rotation of complex order b with respect to symmetrical points and learn some of its basic properties. We also apply this concept to define the class Hks(α,b,δ). We study some interestin...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/790689 |
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| _version_ | 1832562452510801920 |
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| author | Muhammad Arif Khalida Inayat Noor Rafiullah Khan |
| author_facet | Muhammad Arif Khalida Inayat Noor Rafiullah Khan |
| author_sort | Muhammad Arif |
| collection | DOAJ |
| description | In our present investigation, motivated from Noor work, we define the class ℛks(b) of functions of bounded radius rotation of complex order b with respect to symmetrical points and learn some of its basic properties. We also apply this concept to define the class Hks(α,b,δ). We study some interesting results, including arc length, coefficient difference, and univalence sufficient condition for this class. |
| format | Article |
| id | doaj-art-2538860ad19b410d930e86824a520f3d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2538860ad19b410d930e86824a520f3d2025-02-03T01:22:29ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/790689790689On Subclasses of Analytic Functions with respect to Symmetrical PointsMuhammad Arif0Khalida Inayat Noor1Rafiullah Khan2Department of Mathematics, Abdul Wali Khan University, Mardan, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Islamabad, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, PakistanIn our present investigation, motivated from Noor work, we define the class ℛks(b) of functions of bounded radius rotation of complex order b with respect to symmetrical points and learn some of its basic properties. We also apply this concept to define the class Hks(α,b,δ). We study some interesting results, including arc length, coefficient difference, and univalence sufficient condition for this class.http://dx.doi.org/10.1155/2012/790689 |
| spellingShingle | Muhammad Arif Khalida Inayat Noor Rafiullah Khan On Subclasses of Analytic Functions with respect to Symmetrical Points Abstract and Applied Analysis |
| title | On Subclasses of Analytic Functions with respect to Symmetrical Points |
| title_full | On Subclasses of Analytic Functions with respect to Symmetrical Points |
| title_fullStr | On Subclasses of Analytic Functions with respect to Symmetrical Points |
| title_full_unstemmed | On Subclasses of Analytic Functions with respect to Symmetrical Points |
| title_short | On Subclasses of Analytic Functions with respect to Symmetrical Points |
| title_sort | on subclasses of analytic functions with respect to symmetrical points |
| url | http://dx.doi.org/10.1155/2012/790689 |
| work_keys_str_mv | AT muhammadarif onsubclassesofanalyticfunctionswithrespecttosymmetricalpoints AT khalidainayatnoor onsubclassesofanalyticfunctionswithrespecttosymmetricalpoints AT rafiullahkhan onsubclassesofanalyticfunctionswithrespecttosymmetricalpoints |