The Fekete-Szegő problem fork-uniformly convex functions and for a class defined by the Owa-Srivastava operator (Q944349)
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scientific article; zbMATH DE number 5344333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Fekete-Szegő problem fork-uniformly convex functions and for a class defined by the Owa-Srivastava operator |
scientific article; zbMATH DE number 5344333 |
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The Fekete-Szegő problem fork-uniformly convex functions and for a class defined by the Owa-Srivastava operator (English)
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16 September 2008
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Making use of a fractional differential operator due to Owa and Srivastava, a subclass of analytic functions related to \(k\)-uniformly convex functions, is introduced. For this class and in particular for the class of \(k\)-uniformly convex functions the Fekete-Szegő problem is completely solved. The authors investigated some properties for the functions from the class \(k\)-\(SP_{\lambda}\) and proved completely these properties.
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\(k\)-uniformly convex function
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elliptic integral
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Hadamard product
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fractional derivative
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