On starlikeness of Libera transform
Let A denote the class of functions f that are analytic in the unit disc D and normalized by f (0) = f ʹ(0) – 1 = 0. In this paper conditions are determined for starlikeness of the Libera integral of functions such that ⎪arg {f ʹ}⎪ < δ in D. The results of Miller and Mocanu (2002) on Libera trans...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2015
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| Online Access: | http://journalarticle.ukm.my/8247/ http://journalarticle.ukm.my/8247/1/21_Mamoru_Nunokawa.pdf |
| _version_ | 1848811742267703296 |
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| author | Nunokawa, Mamoru Sokol, Janusz |
| author_facet | Nunokawa, Mamoru Sokol, Janusz |
| author_sort | Nunokawa, Mamoru |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | Let A denote the class of functions f that are analytic in the unit disc D and normalized by f (0) = f ʹ(0) – 1 = 0. In this paper conditions are determined for starlikeness of the Libera integral of functions such that ⎪arg {f ʹ}⎪ < δ in D. The results of Miller and Mocanu (2002) on Libera transform of functions with bounded turning are improved. |
| first_indexed | 2025-11-14T23:51:14Z |
| format | Article |
| id | oai:generic.eprints.org:8247 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:51:14Z |
| publishDate | 2015 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:82472016-12-14T06:46:40Z http://journalarticle.ukm.my/8247/ On starlikeness of Libera transform Nunokawa, Mamoru Sokol, Janusz Let A denote the class of functions f that are analytic in the unit disc D and normalized by f (0) = f ʹ(0) – 1 = 0. In this paper conditions are determined for starlikeness of the Libera integral of functions such that ⎪arg {f ʹ}⎪ < δ in D. The results of Miller and Mocanu (2002) on Libera transform of functions with bounded turning are improved. Universiti Kebangsaan Malaysia 2015-01 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/8247/1/21_Mamoru_Nunokawa.pdf Nunokawa, Mamoru and Sokol, Janusz (2015) On starlikeness of Libera transform. Sains Malaysiana, 44 (1). pp. 155-158. ISSN 0126-6039 http://www.ukm.my/jsm/ |
| spellingShingle | Nunokawa, Mamoru Sokol, Janusz On starlikeness of Libera transform |
| title | On starlikeness of Libera transform |
| title_full | On starlikeness of Libera transform |
| title_fullStr | On starlikeness of Libera transform |
| title_full_unstemmed | On starlikeness of Libera transform |
| title_short | On starlikeness of Libera transform |
| title_sort | on starlikeness of libera transform |
| url | http://journalarticle.ukm.my/8247/ http://journalarticle.ukm.my/8247/ http://journalarticle.ukm.my/8247/1/21_Mamoru_Nunokawa.pdf |