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...

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Main Authors: Nunokawa, Mamoru, Sokol, Janusz
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2015
Online Access:http://journalarticle.ukm.my/8247/
http://journalarticle.ukm.my/8247/
http://journalarticle.ukm.my/8247/1/21_Mamoru_Nunokawa.pdf
id ukm-8247
recordtype eprints
spelling ukm-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/
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
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.
format Article
author Nunokawa, Mamoru
Sokol, Janusz
spellingShingle Nunokawa, Mamoru
Sokol, Janusz
On starlikeness of Libera transform
author_facet Nunokawa, Mamoru
Sokol, Janusz
author_sort Nunokawa, Mamoru
title On starlikeness of Libera transform
title_short 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_sort on starlikeness of libera transform
publisher Universiti Kebangsaan Malaysia
publishDate 2015
url http://journalarticle.ukm.my/8247/
http://journalarticle.ukm.my/8247/
http://journalarticle.ukm.my/8247/1/21_Mamoru_Nunokawa.pdf
first_indexed 2023-09-18T19:51:55Z
last_indexed 2023-09-18T19:51:55Z
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