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

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  • Saurabh Porwal

    (CSJM University)

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.

Suggested Citation

  • Saurabh Porwal, 2015. "Some properties of a subclass of harmonic univalent functions defined by the multiplier transformations," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(3), pages 309-335, June.
    • Handle: RePEc:spr:indpam:v:46:y:2015:i:3:d:10.1007_s13226-015-0132-9
    DOI: 10.1007/s13226-015-0132-9
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    References listed on IDEAS

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    1. Osman Altintas & Shigeyoshi Owa, 1996. "Neighborhoods of certain analytic functions with negative coefficients," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-4, January.
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