sufficient conditions for starlikeness associated with parabolic region

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ID: 150820
2002
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Abstract
An analytic function f(z)=z+a n+1 z n+1+⋯, defined on the unit disk △={z:|z|<1}, is in the class S p if z f′(z)/f(z) is in the parabolic region Rew>|w−1|. This class is closely related to the class of uniformly convex functions. Sufficient conditions for function to be in S p are obtained. In particular, we find condition on λ such that the function f(z), satisfying (1−α)(f(z)/z) μ+αf′(z)(f(z)/z) μ−1≺1+λz, is in S p.
Reference Key
ravichandran2002internationalsufficient Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;V. Ravichandran;A. Gangadharan;T. N. Shanmugam
Journal structural engineering and mechanics
Year 2002
DOI
10.1155/S0161171202007895
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