A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions
We investigate some subclasses of k-uniformly convex and k-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions. Some coefficient inequalities, a distortion theorem, the radii of close-to-convexity, and starlikeness and convexity for these...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/9010964 |
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| _version_ | 1832555946143907840 |
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| author | Saqib Hussain Akhter Rasheed Muhammad Asad Zaighum Maslina Darus |
| author_facet | Saqib Hussain Akhter Rasheed Muhammad Asad Zaighum Maslina Darus |
| author_sort | Saqib Hussain |
| collection | DOAJ |
| description | We investigate some subclasses of k-uniformly convex and k-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions. Some coefficient inequalities, a distortion theorem, the radii of close-to-convexity, and starlikeness and convexity for these classes of functions are studied. The behavior of these classes under a certain modified convolution operator is also discussed. |
| format | Article |
| id | doaj-art-b3ac3ea9e7e64a69ba801a957a440ea3 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b3ac3ea9e7e64a69ba801a957a440ea32025-02-03T05:46:45ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/90109649010964A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike FunctionsSaqib Hussain0Akhter Rasheed1Muhammad Asad Zaighum2Maslina Darus3Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PakistanDepartment of Mathematics & Statistics, Riphah International University, Islamabad, PakistanDepartment of Mathematics & Statistics, Riphah International University, Islamabad, PakistanSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaWe investigate some subclasses of k-uniformly convex and k-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions. Some coefficient inequalities, a distortion theorem, the radii of close-to-convexity, and starlikeness and convexity for these classes of functions are studied. The behavior of these classes under a certain modified convolution operator is also discussed.http://dx.doi.org/10.1155/2017/9010964 |
| spellingShingle | Saqib Hussain Akhter Rasheed Muhammad Asad Zaighum Maslina Darus A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions Journal of Function Spaces |
| title | A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions |
| title_full | A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions |
| title_fullStr | A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions |
| title_full_unstemmed | A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions |
| title_short | A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions |
| title_sort | subclass of analytic functions related to k uniformly convex and starlike functions |
| url | http://dx.doi.org/10.1155/2017/9010964 |
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