On the hadamard products of Schlicht functions and applications
We show that each of the schlicht classes of starlike, convex, close-to-convex and strongly starlike with respect to symmetric points is invariant under the Hadamard product with the class of convex functions. The influence of certain operators over these classes is also investigated.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000163 |
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| _version_ | 1850236773890785280 |
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| author | H. S. Al-Amiri |
| author_facet | H. S. Al-Amiri |
| author_sort | H. S. Al-Amiri |
| collection | DOAJ |
| description | We show that each of the schlicht classes of starlike, convex, close-to-convex
and strongly starlike with respect to symmetric points is invariant under the Hadamard product with the class of convex functions. The influence of certain operators over these classes is also investigated. |
| format | Article |
| id | doaj-art-122dfb8d40294c23ad09ef5df920b53d |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-122dfb8d40294c23ad09ef5df920b53d2025-08-20T02:01:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018117317710.1155/S0161171285000163On the hadamard products of Schlicht functions and applicationsH. S. Al-Amiri0Department of Mathematics, Bowling Green State University, Bowling Green 43403, Ohio, USAWe show that each of the schlicht classes of starlike, convex, close-to-convex and strongly starlike with respect to symmetric points is invariant under the Hadamard product with the class of convex functions. The influence of certain operators over these classes is also investigated.http://dx.doi.org/10.1155/S0161171285000163Hadamard productsschlicht functionsand starlikeconvexclose-to-convex and strongly starlike with respect to symmetric points. |
| spellingShingle | H. S. Al-Amiri On the hadamard products of Schlicht functions and applications International Journal of Mathematics and Mathematical Sciences Hadamard products schlicht functions and starlike convex close-to-convex and strongly starlike with respect to symmetric points. |
| title | On the hadamard products of Schlicht functions and applications |
| title_full | On the hadamard products of Schlicht functions and applications |
| title_fullStr | On the hadamard products of Schlicht functions and applications |
| title_full_unstemmed | On the hadamard products of Schlicht functions and applications |
| title_short | On the hadamard products of Schlicht functions and applications |
| title_sort | on the hadamard products of schlicht functions and applications |
| topic | Hadamard products schlicht functions and starlike convex close-to-convex and strongly starlike with respect to symmetric points. |
| url | http://dx.doi.org/10.1155/S0161171285000163 |
| work_keys_str_mv | AT hsalamiri onthehadamardproductsofschlichtfunctionsandapplications |