Neighborhoods of Starlike and Convex Functions Associated with Parabola

Let f be a normalized analytic function defined on the unit disk and fλ(z):=(1−λ)z+λf(z) for 0<λ≤1. For α>0, a function f∈ðÂ’®ðÂ’«(α,λ) if zf′(z)/fλ(z) lies in the parabolic region Ω:={w:|w−α|<Re â¡w+α}. Let ðÂ’žðÂÂ...

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Bibliographic Details
Main Authors: Om P. Ahuja, V. Ravichandran, K. G. Subramanian, Rosihan M. Ali
Format: Article
Language:English
Published: SpringerOpen 2008-09-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/346279