A subclass of harmonic functions with negative coefficients defined by Dziok-Srivastava operator (Q2896925)

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scientific article; zbMATH DE number 6053308
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A subclass of harmonic functions with negative coefficients defined by Dziok-Srivastava operator
scientific article; zbMATH DE number 6053308

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    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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    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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