Some properties of a subclass of harmonic univalent functions defined by the multiplier transformations

Saurabh Porwal ()
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Saurabh Porwal: CSJM University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 3, 309-335

Abstract: Abstract The main object of this article is to present a systematic investigation of a new class of harmonic univalent functions S H (n, λ, α) defined by the multiplier transformations. We obtain coefficient bounds, extreme points, distortion theorem and covering result for this class. Further, we give a sufficient condition for a function defined by Srivastava-Owa fractional calculus operator belonging to this class. Apart of these results, many interesting properties on convolution, partial sums and neighborhoods are also obtained. Relevant connections of the results presented herewith various well-known results are briefly indicated.

Keywords: Harmonic; univalent functions; multiplier transformations; fractional calculus; convolution; neighborhoods (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0132-9

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