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Harmonic Mappings With Fixed Analytic Part

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Abstract: In this article, we consider a class of sense preserving harmonic mappings having analytic part convex in one direction. We prove that functions in this class are close-to-convex for certain values of parameters. Also, we obtain bounds on the pre-Schwarzian derivatives and on the Bloch’s constant. In addition, we investigate the coefficient estimates, growth and distortion results.

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