Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator
We introduce a certain subclass of multivalent analytic functions by making use of the principle of subordination between these functions and Cătas operator. Such results as subordination and superordination properties, convolution properties, inclusion relationships, distortion theorems, inequality...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/752341 |
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| author | E. A. Elrifai H. E. Darwish A. R. Ahmed |
| author_facet | E. A. Elrifai H. E. Darwish A. R. Ahmed |
| author_sort | E. A. Elrifai |
| collection | DOAJ |
| description | We introduce a certain subclass of multivalent analytic functions by making use of the principle of subordination between these functions and Cătas operator. Such results as subordination and superordination properties, convolution properties, inclusion relationships, distortion theorems, inequality properties, and sufficient conditions for multivalent starlikeness are provide. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained. |
| format | Article |
| id | doaj-art-e8cfff177b78459eb7a1e8e5d700e561 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e8cfff177b78459eb7a1e8e5d700e5612025-02-03T01:06:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/752341752341Some Properties of Certain Multivalent Analytic Functions Involving the Cătas OperatorE. A. Elrifai0H. E. Darwish1A. R. Ahmed2Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, EgyptDepartment of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, EgyptWe introduce a certain subclass of multivalent analytic functions by making use of the principle of subordination between these functions and Cătas operator. Such results as subordination and superordination properties, convolution properties, inclusion relationships, distortion theorems, inequality properties, and sufficient conditions for multivalent starlikeness are provide. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.http://dx.doi.org/10.1155/2011/752341 |
| spellingShingle | E. A. Elrifai H. E. Darwish A. R. Ahmed Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator International Journal of Mathematics and Mathematical Sciences |
| title | Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator |
| title_full | Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator |
| title_fullStr | Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator |
| title_full_unstemmed | Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator |
| title_short | Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator |
| title_sort | some properties of certain multivalent analytic functions involving the catas operator |
| url | http://dx.doi.org/10.1155/2011/752341 |
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