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Neighborhoods of Starlike and Convex Functions Associated with Parabola
- Source :
- Journal of Inequalities and Applications, Vol 2008 (2008)
- Publication Year :
- 2008
- Publisher :
- SpringerOpen, 2008.
-
Abstract
- Let f be a normalized analytic function defined on the unit disk and fλ(z):=(1−λ)z+λf(z) for 00, a function f∈ðÂ’®ðÂ’«(α,λ) if zf′(z)/fλ(z) lies in the parabolic region Ω:={w:|w−α|0, the δ-neighbourhood of a function f∈ðÂ’žðÂ’«(α,λ) is shown to consist of functions in the class ðÂ’®ðÂ’«(α,λ).
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 10255834 and 1029242X
- Volume :
- 2008
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Inequalities and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.74e3d10809774c7c89a8e2f9866fa59e
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2008/346279