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27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications
16 августа 2019 г. 14:30, г. Красноярск, Сибирский федеральный университет


Harmonic mappings with fixed analytic part

J. Prajapat

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Аннотация: In this talk, we discuss a family of sense-preserving harmonic mappings whose analytic part is convex in one direction. We prove that functions in this family are close-to-convex for certain values of parameters. Also, we discuss bounds on pre-Schwarzian derivatives and bounds on the Bloch’s constant. In addition, we discuss the coefficient estimates, growth and distortion results.

Язык доклада: английский


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