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An Extension to the Owa-Srivastava Fractional Operator with Applications to Parabolic Starlike and Uniformly Convex Functions
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-02-12
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Let ? be the class of analytic functions in the open unit disk ?.
We define Θα,β:?→? by (Θα,βf)(z):=Γ(2−α)zαDzα(Γ(2−β)zβDzβf(z)),(α,β≠2,3,4…), where Dzγf is the fractional derivative of f of order γ.
If α,β∈[0,1], then a function f in ? is said to be in the class SPα,β if Θα,βf is a parabolic starlike function.
In this paper, several properties and characteristics of the class SPα,β are investigated.
These include subordination, characterization and inclusions, growth theorems, distortion theorems, and class-preserving operators.
Furthermore, sandwich theorem related to the fractional derivative is proved.
American Psychological Association (APA)
al-Refai, Oqlah& Darus, Maslina. 2009. An Extension to the Owa-Srivastava Fractional Operator with Applications to Parabolic Starlike and Uniformly Convex Functions. International Journal of Differential Equations،Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-483883
Modern Language Association (MLA)
al-Refai, Oqlah& Darus, Maslina. An Extension to the Owa-Srivastava Fractional Operator with Applications to Parabolic Starlike and Uniformly Convex Functions. International Journal of Differential Equations No. 2009 (2009), pp.1-18.
https://search.emarefa.net/detail/BIM-483883
American Medical Association (AMA)
al-Refai, Oqlah& Darus, Maslina. An Extension to the Owa-Srivastava Fractional Operator with Applications to Parabolic Starlike and Uniformly Convex Functions. International Journal of Differential Equations. 2009. Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-483883
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483883