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: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/692327 |
| id |
doaj-9c5db4ff6c684e069b3c14180c16233a |
|---|---|
| record_format |
Article |
| spelling |
doaj-9c5db4ff6c684e069b3c14180c16233a2020-11-24T23:05:05ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/692327692327Some Connections between Class 𝒰- and α-Convex FunctionsEdmond Aliaga0Nikola Tuneski1Department of Mathematics and Computer Sciences, Faculty of Mathematical and Natural Sciences, University of Prishtina, M. Tereza n.n., 10000 Prishtina, KosovoFaculty of Mechanical Engineering, Ss. Cyril and Methodius University in Skopje, Karpoš II b.b., 1000 Skopje, MacedoniaThe 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.http://dx.doi.org/10.1155/2014/692327 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Edmond Aliaga Nikola Tuneski |
| spellingShingle |
Edmond Aliaga Nikola Tuneski Some Connections between Class 𝒰- and α-Convex Functions Abstract and Applied Analysis |
| author_facet |
Edmond Aliaga Nikola Tuneski |
| author_sort |
Edmond Aliaga |
| title |
Some Connections between Class 𝒰- and α-Convex Functions |
| title_short |
Some Connections between Class 𝒰- and α-Convex Functions |
| title_full |
Some Connections between Class 𝒰- and α-Convex Functions |
| title_fullStr |
Some Connections between Class 𝒰- and α-Convex Functions |
| title_full_unstemmed |
Some Connections between Class 𝒰- and α-Convex Functions |
| title_sort |
some connections between class 𝒰- and α-convex functions |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2014/692327 |
| work_keys_str_mv |
AT edmondaliaga someconnectionsbetweenclassuandaconvexfunctions AT nikolatuneski someconnectionsbetweenclassuandaconvexfunctions |
| _version_ |
1725627589419073536 |