A subclass of harmonic functions with negative coefficients defined by Dziok-Srivastava operator (Q2896925)
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scientific article; zbMATH DE number 6053308
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A subclass of harmonic functions with negative coefficients defined by Dziok-Srivastava operator |
scientific article; zbMATH DE number 6053308 |
Statements
A subclass of harmonic functions with negative coefficients defined by Dziok-Srivastava operator (English)
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5 July 2012
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harmonic univalent starlike functions
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Dziok-Srivastava operator
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distortion bounds
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extreme points
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convolution
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0.92388153
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0.90940946
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The authors make use of the generalized hypergeometric function \({_pF_q(z)}\) depending upon complex parameters, and by forming its convolution with analytic functions, they define a certain linear operator. This operator is then used to define a new class of harmonic mappings on the unit disk. The new class includes many earlier ones studied by various other authors. A sufficient condition for mappings to belong to this class is established; furthermore, the authors present coefficient bounds, distortion theorems and forms of extreme points.
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