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Journal of Inequalities and Applications
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Neighborhoods of Starlike and Convex Functions Associated with Parabola

Journal of Inequalities and Applications volume 2008, Article number: 346279 (2008) Cite this article

Abstract

Let be a normalized analytic function defined on the unit disk and for . For , a function if lies in the parabolic region . Let be the corresponding class consisting of functions such that lies in the region . For an appropriate , the -neighbourhood of a function is shown to consist of functions in the class .

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Authors and Affiliations

  1. School of Mathematical Sciences, Universiti Sains Malaysia, Penang, 11800, Malaysia

    Rosihan M. Ali & K. G. Subramanian

  2. Department of Mathematics, University of Delhi, Delhi, 110007, India

    V. Ravichandran

  3. Department of Mathematics, Kent State University, Burton, OH, 44021-9500, USA

    OmP Ahuja

Authors
  1. Rosihan M. Ali
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  2. K. G. Subramanian
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  3. V. Ravichandran
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  4. OmP Ahuja
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Correspondence to Rosihan M. Ali.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Ali, R.M., Subramanian, K.G., Ravichandran, V. et al. Neighborhoods of Starlike and Convex Functions Associated with Parabola. J Inequal Appl 2008, 346279 (2008). https://doi.org/10.1155/2008/346279

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  • DOI: https://doi.org/10.1155/2008/346279

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