On Starlike and Convex Functions with Respect to k-Symmetric Points

We introduce new subclasses Skσ,s(λ,δ,ϕ) and Kkσ,s(λ,δ,ϕ) of analytic functions with respect to k-symmetric points defined by differential operator. Some interesting properties for these classes are obtained.

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences 2011, Vol.2011, p.368-376-125
Main Authors: Abubaker, Afaf A. Ali, Darus, Maslina
Format: Article
Language:English
Subjects:
Analytic functions
Convex analysis
Mathematical analysis
Mathematical models
Operators
Studies
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Description
Summary:We introduce new subclasses Skσ,s(λ,δ,ϕ) and Kkσ,s(λ,δ,ϕ) of analytic functions with respect to k-symmetric points defined by differential operator. Some interesting properties for these classes are obtained.
ISSN:0161-1712
1687-0425
DOI:10.1155/2011/834064