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On a Subclass of p-Harmonic Mappings
並列摘要
The purpose of the present paper is to introduce two new classes HSp(α) and HCp(α) of p-harmonic mappings together with their corresponding subclasses HSp^0(α ) and HSp^0(α). We prove that the mappings in HSp(α) and HCp(α) are univalent and sense-preserving in U and obtain extreme points of HSp^0(α) and HSp^0(α), HSp(α)∩Tp and HCp(α)∩Tp are determined, where Tp denotes the set of p-harmonic mapping with non negative coefficients. Finally, we establish the existence of the neighborhoods of mappings in HCp(α). Relevant connections of the results presented here with various known results are briefly indicated.
並列關鍵字
無資料被引用紀錄
Liao, Y. J. (2011). 多用戶雙向傳輸合作式中繼系統之中繼點選擇設計 [master's thesis, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2011.00831
蔡冠群 (2013). 用於多核心系統晶片交易層級內嵌式追蹤器架構 [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-1402201415091198
延伸閱讀
- Liu, Z. H., & Li, Y. C. (2013). The Properties of a New Subclass of Harmonic Univalent Mappings. Abstract and Applied Analysis, 2013(), 751-757-1076. https://doi.org/10.1155/2013/794108
- Wang, Y. S. (2012). A note on the space of harmonic functions [master's thesis, National Tsing Hua University]. Airiti Library. https://doi.org/10.6843/NTHU.2012.00052
- Xiao, Z. (2012). A Combinatorial Note for Harmonic Tensors. International Journal of Mathematics and Mathematical Sciences, 2012(), 575-581-042. https://doi.org/10.1155/2012/316389
- Aldawish, I., & Darus, M. (2015). On Certain Class of Meromorphic Harmonic Concave Functions. Tamkang Journal of Mathematics, 46(2), 101-109. https://doi.org/10.5556/j.tkjm.46.2015.1599
- Liu, Z. H., & Li, Y. C. (2015). Corrigendum to ＂The Properties of a New Subclass of Harmonic Univalent Mappings＂. Abstract and Applied Analysis, (2015), 366-366. https://doi.org/10.1155/2015/476062