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Neighborhoods of Starlike and Convex Functions Associated with Parabola

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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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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Keywords

  • Convex Function
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  • Function Associate