Some Connections between Class 𝒰- and α-Convex Functions
The class 𝒰(λ,μ) of normalized analytic functions that satisfy |(z/f(z))1+μ·f′(z)−1|<λ for all z in the open unit disk is studied and sufficient conditions for an α-convex function to be in 𝒰(λ,μ) are given.
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2014-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/692327 |