A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions
We introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution). A characterization property such as the coefficient bound is obtained for this class. The other related properties, which are investigated in this paper, include the d...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/159405 |
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| _version_ | 1849409190116720640 |
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| author | Firas Ghanim Maslina Darus |
| author_facet | Firas Ghanim Maslina Darus |
| author_sort | Firas Ghanim |
| collection | DOAJ |
| description | We introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution). A characterization property such as the coefficient bound is obtained for this class. The other related properties, which are investigated in this paper, include the distortion and the radius of starlikeness. We also consider several applications of our main results to the generalized hypergeometric functions. |
| format | Article |
| id | doaj-art-7e7b2c3944ab4f7c99b73887aac908e9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7e7b2c3944ab4f7c99b73887aac908e92025-08-20T03:35:34ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/159405159405A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric FunctionsFiras Ghanim0Maslina Darus1Faculty of Management, Multimedia University, Cyberjaya, 63100 Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600 Selangor, MalaysiaWe introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution). A characterization property such as the coefficient bound is obtained for this class. The other related properties, which are investigated in this paper, include the distortion and the radius of starlikeness. We also consider several applications of our main results to the generalized hypergeometric functions.http://dx.doi.org/10.1155/2011/159405 |
| spellingShingle | Firas Ghanim Maslina Darus A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions Abstract and Applied Analysis |
| title | A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions |
| title_full | A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions |
| title_fullStr | A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions |
| title_full_unstemmed | A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions |
| title_short | A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions |
| title_sort | new class of meromorphically analytic functions with applications to the generalized hypergeometric functions |
| url | http://dx.doi.org/10.1155/2011/159405 |
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