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.
Saved in:
Main Authors: | Edmond Aliaga, Nikola Tuneski |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2014-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/692327 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Starlikeness and convexity of a class of analytic functions
by: Nikola Tuneski, et al.
Published: (2006-01-01) -
Generalized classes of starlike and convex functions of order α
by: Shigeyoshi Owa, et al.
Published: (1985-01-01) -
Some classes of alpha-quasi-convex functions
by: Khalida Inayat Noor
Published: (1988-01-01) -
Classes of convex functions
by: Thomas Rosy, et al.
Published: (2000-01-01) -
On convex functions of order α and type β
by: Wancang Ma
Published: (1988-01-01)