Certain integral operator and strongly starlike functions
Let S∗(ρ,γ) denote the class of strongly starlike functions of order ρ and type γ and let C(ρ,γ) be the class of strongly convex functions of order ρ and type γ. By making use of an integral operator defined by Jung et al. (1993), we introduce two novel families of strongly starlike functions Sβα(ρ,...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120200786X |
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| _version_ | 1832545330557616128 |
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| author | Jin-Lin Liu |
| author_facet | Jin-Lin Liu |
| author_sort | Jin-Lin Liu |
| collection | DOAJ |
| description | Let S∗(ρ,γ) denote the class of strongly starlike functions of order ρ and type γ and let C(ρ,γ) be the class of strongly convex functions of order ρ and type γ. By making use of an integral operator defined by Jung et al. (1993), we introduce two novel families of strongly starlike functions Sβα(ρ,γ) and Cβα(ρ,γ). Some properties of these classes are discussed. |
| format | Article |
| id | doaj-art-bde3c92a81c64f0db5ec50ba89734ada |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bde3c92a81c64f0db5ec50ba89734ada2025-02-03T07:26:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130956957410.1155/S016117120200786XCertain integral operator and strongly starlike functionsJin-Lin Liu0Department of Mathematics, Yangzhou University, Jiangsu, Yangzhou 225002, ChinaLet S∗(ρ,γ) denote the class of strongly starlike functions of order ρ and type γ and let C(ρ,γ) be the class of strongly convex functions of order ρ and type γ. By making use of an integral operator defined by Jung et al. (1993), we introduce two novel families of strongly starlike functions Sβα(ρ,γ) and Cβα(ρ,γ). Some properties of these classes are discussed.http://dx.doi.org/10.1155/S016117120200786X |
| spellingShingle | Jin-Lin Liu Certain integral operator and strongly starlike functions International Journal of Mathematics and Mathematical Sciences |
| title | Certain integral operator and strongly starlike functions |
| title_full | Certain integral operator and strongly starlike functions |
| title_fullStr | Certain integral operator and strongly starlike functions |
| title_full_unstemmed | Certain integral operator and strongly starlike functions |
| title_short | Certain integral operator and strongly starlike functions |
| title_sort | certain integral operator and strongly starlike functions |
| url | http://dx.doi.org/10.1155/S016117120200786X |
| work_keys_str_mv | AT jinlinliu certainintegraloperatorandstronglystarlikefunctions |