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On some first-order differential subordination

Thumbnail
Author
Yavuz, Emel
Nunokawa, M.
Sokół, J.
Cho, N.E.
Owa, S.
Type
Article
Date
2014-07
Language
en_US
Metadata
Show full item record
Abstract
Let denote the class of functions f that are analytic in the unit disc and normalized by f(0) = f′(0) − 1 = 0. In this paper, we investigate the class of functions such that in . We determine conditions for α and β under which the function f is univalent, close-to-convex, and convex. To obtain this, we first estimate ∣Arg{f′(z)}∣ which improves the earlier results.
Subject
Close-to-convex functions
Convex functions
Starlike functions
Subordination
URI
https://doi.org/10.1016/j.joems.2013.07.015
https://hdl.handle.net/11413/3678
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  • Makaleler / Articles [209]

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İstanbul Kültür University

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Istanbul Kültür University, Ataköy Campus E5 Karayolu Üzeri Bakırköy 34158, İstanbul / TURKEY
Copyright © İstanbul Kültür University

Creative Commons Lisansı
IKU Institutional Repository, Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.

Designed by  UNIREPOS