Some coefficient estimates on real kernel 𝛼-harmonic mappings

Author:

Long Bo-Yong,Wang Qi-Han

Abstract

We call the solution of a kind of second order homogeneous partial differential equation as real kernel α \alpha - harmonic mappings. For this class of mappings, we explore its Heinz type inequality. Furthermore, for a subclass of real kernel α \alpha - harmonic mappings with real coefficients, we estimate their coefficients. At last, we study the extremal function of Schwartz type lemma for the class of real kernel α \alpha - harmonic mappings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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