Univalence of a New General Integral Operator Associated with the q-Hypergeometric Function
Motivated by the familiar q-hypergeometric functions, we introduce a new family of integral operators and obtain new sufficient conditions of univalence criteria. Several corollaries and consequences of the main results are also pointed out.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/769537 |
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| _version_ | 1849467785880535040 |
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| author | Huda Aldweby Maslina Darus |
| author_facet | Huda Aldweby Maslina Darus |
| author_sort | Huda Aldweby |
| collection | DOAJ |
| description | Motivated by the familiar q-hypergeometric functions, we introduce a new family of integral operators and obtain new sufficient conditions of univalence criteria. Several corollaries and consequences of the main results are also pointed out. |
| format | Article |
| id | doaj-art-e65ad4d28c8447be89a7fa705e3579ff |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e65ad4d28c8447be89a7fa705e3579ff2025-08-20T03:26:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/769537769537Univalence of a New General Integral Operator Associated with the q-Hypergeometric FunctionHuda Aldweby0Maslina Darus1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaMotivated by the familiar q-hypergeometric functions, we introduce a new family of integral operators and obtain new sufficient conditions of univalence criteria. Several corollaries and consequences of the main results are also pointed out.http://dx.doi.org/10.1155/2013/769537 |
| spellingShingle | Huda Aldweby Maslina Darus Univalence of a New General Integral Operator Associated with the q-Hypergeometric Function International Journal of Mathematics and Mathematical Sciences |
| title | Univalence of a New General Integral Operator Associated with the q-Hypergeometric Function |
| title_full | Univalence of a New General Integral Operator Associated with the q-Hypergeometric Function |
| title_fullStr | Univalence of a New General Integral Operator Associated with the q-Hypergeometric Function |
| title_full_unstemmed | Univalence of a New General Integral Operator Associated with the q-Hypergeometric Function |
| title_short | Univalence of a New General Integral Operator Associated with the q-Hypergeometric Function |
| title_sort | univalence of a new general integral operator associated with the q hypergeometric function |
| url | http://dx.doi.org/10.1155/2013/769537 |
| work_keys_str_mv | AT hudaaldweby univalenceofanewgeneralintegraloperatorassociatedwiththeqhypergeometricfunction AT maslinadarus univalenceofanewgeneralintegraloperatorassociatedwiththeqhypergeometricfunction |