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Neighborhoods of Starlike and Convex Functions Associated with Parabola


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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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).

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