Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions
We define a class T̃k [A, B, α, ρ] of analytic functions by using Janowski’s functions which generalizes a number of classes studied earlier such as the class of strongly close-to-convex functions. Some properties of this class, including arc length, coefficient problems, and a distortion result, ar...
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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/10.1155/2012/279843 |
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| author | M. Arif K. I. Noor M. Raza W. Haq |
| author_facet | M. Arif K. I. Noor M. Raza W. Haq |
| author_sort | M. Arif |
| collection | DOAJ |
| description | We define a class T̃k [A, B, α, ρ] of analytic functions by using Janowski’s functions which generalizes a number of classes studied earlier such as the class of strongly close-to-convex functions. Some properties of this class, including arc length, coefficient problems, and a distortion result, are investigated. We also discuss the growth of Hankel determinant problem. |
| format | Article |
| id | doaj-art-c2486c1d44fc41b8a8087d68b14c1e8f |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c2486c1d44fc41b8a8087d68b14c1e8f2025-08-20T02:19:02ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/279843279843Some Properties of a Generalized Class of Analytic Functions Related with Janowski FunctionsM. Arif0K. I. Noor1M. Raza2W. Haq3Department of Mathematics, Abdul Wali Khan University, 23200 Mardan, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, 44000 Islamabad, PakistanDepartment of Mathematics, GC University, 38000 Faisalabad, PakistanDepartment of Mathematics, Abdul Wali Khan University, 23200 Mardan, PakistanWe define a class T̃k [A, B, α, ρ] of analytic functions by using Janowski’s functions which generalizes a number of classes studied earlier such as the class of strongly close-to-convex functions. Some properties of this class, including arc length, coefficient problems, and a distortion result, are investigated. We also discuss the growth of Hankel determinant problem.http://dx.doi.org/10.1155/2012/279843 |
| spellingShingle | M. Arif K. I. Noor M. Raza W. Haq Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions Abstract and Applied Analysis |
| title | Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions |
| title_full | Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions |
| title_fullStr | Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions |
| title_full_unstemmed | Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions |
| title_short | Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions |
| title_sort | some properties of a generalized class of analytic functions related with janowski functions |
| url | http://dx.doi.org/10.1155/2012/279843 |
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