Some coefficient estimates on real kernel 𝛼-harmonic mappings

Long, Bo-Yong; Wang, Qi-Han

doi:10.1090/proc/15734

Some coefficient estimates on real kernel $\alpha -$harmonic mappings
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by Bo-Yong Long and Qi-Han Wang

Proc. Amer. Math. Soc. 150 (2022), 1529-1540

DOI: https://doi.org/10.1090/proc/15734

Published electronically: January 28, 2022

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Abstract:

We call the solution of a kind of second order homogeneous partial differential equation as real kernel $\alpha -$harmonic mappings. For this class of mappings, we explore its Heinz type inequality. Furthermore, for a subclass of real kernel $\alpha -$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 $\alpha -$harmonic mappings.

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