Abstract
The aim of this paper is to obtain the Schwarz–Pick type inequality for \(\alpha \)-harmonic functions f in the unit disk and get estimates on the coefficients of f. As an application, a Landau type theorem of \(\alpha \)-harmonic functions is established.
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Acknowledgements
The research was partly supported by NSFs of China (Nos. 11571216 and 11671127), the Hunan Provincial Innovation Foundation For Postgraduate (No. CX2016B159), NSF of Guangdong Province (No. 2014A030313471) and Project of ISTCIPU in Guangdong Province (No. 2014KGJHZ007). The authors thank the referee very much for his/her careful reading of this paper and many useful suggestions.
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Li, P., Wang, X. & Xiao, Q. Several properties of \(\alpha \)-harmonic functions in the unit disk. Monatsh Math 184, 627–640 (2017). https://doi.org/10.1007/s00605-017-1065-7
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DOI: https://doi.org/10.1007/s00605-017-1065-7