A note on the class of functions with bounded turning
We consider subclasses of functions with bounded turning for normalized analytic functions in the unit disk. The geometric representation is introduced, some subordination relations are suggested, and the upper bound of the pre-Schwarzian norm for these functions is computed. Moreover, by employing...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25235/1/25235.pdf |
| _version_ | 1796970718513070080 |
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| author | Ibrahim, Rabha Waell Kilicman, Adem |
| author_facet | Ibrahim, Rabha Waell Kilicman, Adem |
| author_sort | Ibrahim, Rabha Waell |
| collection | UPM |
| description | We consider subclasses of functions with bounded turning for normalized analytic functions in the unit disk. The geometric representation is introduced, some subordination relations are suggested, and the upper bound of the pre-Schwarzian norm for these functions is computed. Moreover, by employing Jack's lemma, we obtain a convex class in the class of functions of bounded turning and relations with other classes are posed. |
| first_indexed | 2024-03-06T08:02:14Z |
| format | Article |
| id | upm.eprints-25235 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:02:14Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-252352017-10-19T09:09:30Z http://psasir.upm.edu.my/id/eprint/25235/ A note on the class of functions with bounded turning Ibrahim, Rabha Waell Kilicman, Adem We consider subclasses of functions with bounded turning for normalized analytic functions in the unit disk. The geometric representation is introduced, some subordination relations are suggested, and the upper bound of the pre-Schwarzian norm for these functions is computed. Moreover, by employing Jack's lemma, we obtain a convex class in the class of functions of bounded turning and relations with other classes are posed. Hindawi Publishing Corporation 2012 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/25235/1/25235.pdf Ibrahim, Rabha Waell and Kilicman, Adem (2012) A note on the class of functions with bounded turning. Abstract and Applied Analysis, 2012. art. no. 820696. pp. 1-10. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2012/820696/abs/ 10.1155/2012/820696 |
| spellingShingle | Ibrahim, Rabha Waell Kilicman, Adem A note on the class of functions with bounded turning |
| title | A note on the class of functions with bounded turning |
| title_full | A note on the class of functions with bounded turning |
| title_fullStr | A note on the class of functions with bounded turning |
| title_full_unstemmed | A note on the class of functions with bounded turning |
| title_short | A note on the class of functions with bounded turning |
| title_sort | note on the class of functions with bounded turning |
| url | http://psasir.upm.edu.my/id/eprint/25235/1/25235.pdf |
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