单叶调和函数的一个子类

doi:10.16088/j.issn.1001-6600.2020.01.007

Abstract

CLC Number:

O174.51

SUN Zuochen, WANG Qihan, LONG Boyong. A Subclass of Harmonic Univalent Functions[J].Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(1): 54-59.

[1] CLUNIE J, SHEIL-SMALL T. Harmonic univalent functions[J].Annales Academiæ Scientiarum Fennicæ Mathematica,1984,9: 3-25.
[2] AL-SHAQSI K, DARUS M, FADIPE-JOSEPH O A. A new subclass of Salagean-type harmonic univalent functions[J].Abstract and Applied Analysis,2010,Art.ID 821531:12.
[3] CHEN S L, PONNUSAMY S, WANG X T. Coefficient estimates and Landau-Blochs constant for planar harmonic mappings[J].Bulletin of the Malaysian Mathematical Sciences Society,2011,34(2): 255-265.
[4] CHEN X D, FANG A N. Harmonicity of the inverse of a harmonicdiffeomorphism[J].Journal of Mathematical Analysis and Applications,2012,389(1): 647-655.
[5] HUANG X Z. Estimates on Bloch constants for planar harmonic mappings[J].Journal of Mathematical Analysis and Applications,2008,337(2): 880-887.
[6] JAHANGIRI J M. Harmonic functions starlike in the unit disk[J].Journal of Mathematical Analysis and Applications,1999,235(2): 470-477.
[7] JAHANGIRI J M. Coecient bounds and univalence criteria for harmonic functionswith negative coeffcients[J].Annales Universitatis Mariae Curie-Skłodowska Sectio A Mathematica,1998,52(2): 57-66.
[8] LI L L, PONNUSAMY S. Solution to an open problem on convolutions of harmonic mappings[J].Complex Variables and Elliptic Equations,2013,58(12): 1647-1653.
[9] LIU M S. Landau’s theorems for biharmonic mappings[J].Complex Variables and Elliptic Equations,2008,53(9): 843-855.
[10]SILVERMAN H, SILVIA E M. Subclasses of harmonic univalent functions[J].New Zealand Journal of Mathematics,1999,28(2): 275-284.
[11]WANG X T, LIANG X Q, ZHANG Y L. Precise coecient estimates for close-to-convex harmonic univalent mappings[J].Journal of Mathematical Analysis and Applications,2001,263(2): 501-509.
[12]WANG Z G, LIU Z H, LI Y C. On the linear combinations of harmonic univalent mappings[J].Journal of Mathematical Analysis and Applications,2013,400(2): 452-459.
[13]ZHU J F. Some estimates for harmonic mappings with given boundary function[J].Journal of Mathematical Analysis and Applications,2014,411(2): 631-638.
[14]SILVERMAN H. Harmonic univalent functions with negative coefficients[J].Journal of Mathematical Analysis and Applications,1998,220(1): 283-289.
[15]SǍLǍGEAN G Ş . Subclasses of univalent functions[C]//Complex Analysis-Fifth Romanian Finish Seminar. Berlin Heidelberg: Springer,1983: 362-372.
[16]JAHANGIRI J M, MURUGUSNDARAMOORTHY G, VIJAKA K. Salagean-type harmonic univalent functions[J]. Southwest Journal of Pure and Applied Mathematics,2002,2: 77-82.
[17]SUBRAMANIAN K G, SUDHARSAN T V, STEPHEN B A, et al. A note on Salagean-type harmonic univalent functions[J].General Mathematics,2008,16(3): 29-40.
[18]KALAJ D, PAVLOVI Ć M. Boundary correspondence under quasiconformal harmonic diffeomorphisms of a half-plane[J].Annales Academiæ Scientiarum Fennicæ Mathematica,2005,30(1): 159-165.
[19]KNEŽEVIĆ M, MATELJEVIĆ M. On the quasi-isometries of harmonic quasiconformal mappings[J].Journal of Mathematical Analysis and Applications,2007,334(1): 404-413.
[20]PAVLOVIĆ M. Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk[J].Annales Academiæ Scientiarum Fennicæ Mathematica,2002,27(2): 365-372.
[21]JAHANGIRI J M , SILVERMAN H. Harmonic close-to-convex mappings[J].Journal of Applied Mathematics and Stochastic Analysis,2002,15(1): 23-28.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 10

[1]	MENG Chunmei, LU Shiyin, LIANG Yonghong, MO Xiaomin, LI Weidong, HUANG Yuanjie, CHENG Xiaojing, SU Zhiheng, ZHENG Hua. Electron Microscopy Study on the Apoptosis and Autophagy of the Hepatic Stellate Cells Induced by Total Alkaloids[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 76 -79 .
[2]	LI Yuhui, CHEN Zening, HUANG Zhonghao, ZHOU Qihai. Activity Time Budget of Assamese macaque (Macaca assamensis) during Rainy Season in Nonggang Nature Reserve, Guangxi, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 80 -86 .
[3]	QIN Yingying, QI Guangchao, LIANG Shichu. Effects of Eichhornia crassipes Aqueous Extracts on Seed Germination of Ottelia acuminata var. jingxiensis[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 87 -92 .
[4]	BAO Jinping, ZHENG Lianbin, YU Keli, SONG Xue, TIAN Jinyuan, DONG Wenjing. Skinfold Thickness Characteristics of Yi Adults in Daliangshan,China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 107 -112 .
[5]	LIN Yongsheng, PEI Jianguo, ZOU Shengzhang, DU Yuchao, LU Li. Red Bed Karst and Its Hydrochemical Characteristics of Groundwater in the Downstream of Qingjiang River, China[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 113 -120 .
[6]	LIU Guolun, SONG Shuxiang, CEN Mingcan, LI Guiqin, XIE Lina. Design of Bandwidth Tunable Band-Stop Filter[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 1 -8 .
[7]	LIU Ming, ZHANG Shuangquan, HE Yude. Classification Study of Differential Telecom Users Based on SOM Neural Network[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 17 -24 .
[8]	MIAO Xinyan, ZHANG Long, LUO Yantao, PAN Lijun. Study on a Class of Alternative Competition-Cooperation Hybrid Population Model[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 25 -31 .
[9]	HUANG Rongli, LI Changyou, WANG Minqing. Bernstein's Theorem for a Class of Ordinary Differential Equations Ⅱ[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 50 -55 .
[10]	FENG Xiu, MA Nannan, ZHI Hongtao, HAN Shuangqiao, ZHANG Xiang. Removal of Low Concentration Cadmium Ion in the Wastewater by Heavy Metal Capturing Agent UDTC[J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(3): 63 -67 .

A Subclass of Harmonic Univalent Functions

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 4

Metrics

Comments

Recommended 10

[1]	YAN Hao, XU Hongbo, SHEN Yinghan, CHENG Xueqi. Research on Open Chinese Event Detection [J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(2): 64-71.
[2]	FAN Rui, JIANG Pinqun, ZENG Shangyou, XIA Haiying, LIAO Zhixian, LI Peng. Design of Lightweight Convolution Neural Network Based on Multi-scale Parallel Fusion [J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(3): 50-59.
[3]	WU Wenya,CHEN Yufeng,XU Jin’an,ZHANG Yujie. High-level Semantic Attention-based Convolutional Neural Networks for Chinese Relation Extraction [J]. Journal of Guangxi Normal University(Natural Science Edition), 2019, 37(1): 32-41.
[4]	XUE Yang,ZENG Qingke,XIA Haiying,WANG Wentao. Remote Sensing Image Fusion Based on Convolutional Neural Network Super-resolution Reconstruction [J]. Journal of Guangxi Normal University(Natural Science Edition), 2018, 36(2): 33-41.