Starlike and Convex Properties for Hypergeometric Functions
The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/159029 |
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| _version_ | 1832562743601790976 |
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| author | Oh Sang Kwon Nak Eun Cho |
| author_facet | Oh Sang Kwon Nak Eun Cho |
| author_sort | Oh Sang Kwon |
| collection | DOAJ |
| description | The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function. |
| format | Article |
| id | doaj-art-761d475fc4c64237bfa8ac5848340982 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-761d475fc4c64237bfa8ac58483409822025-02-03T01:21:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/159029159029Starlike and Convex Properties for Hypergeometric FunctionsOh Sang Kwon0Nak Eun Cho1Department of Mathematics, Kyungsung University, Busan 608-736, South KoreaDepartment of Applied Mathematics, Pukyong National University, Busan 608-737, South KoreaThe purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.http://dx.doi.org/10.1155/2008/159029 |
| spellingShingle | Oh Sang Kwon Nak Eun Cho Starlike and Convex Properties for Hypergeometric Functions International Journal of Mathematics and Mathematical Sciences |
| title | Starlike and Convex Properties for Hypergeometric Functions |
| title_full | Starlike and Convex Properties for Hypergeometric Functions |
| title_fullStr | Starlike and Convex Properties for Hypergeometric Functions |
| title_full_unstemmed | Starlike and Convex Properties for Hypergeometric Functions |
| title_short | Starlike and Convex Properties for Hypergeometric Functions |
| title_sort | starlike and convex properties for hypergeometric functions |
| url | http://dx.doi.org/10.1155/2008/159029 |
| work_keys_str_mv | AT ohsangkwon starlikeandconvexpropertiesforhypergeometricfunctions AT nakeuncho starlikeandconvexpropertiesforhypergeometricfunctions |