In this paper,we study a subclass of close-to-convex harmonic mappings whose analytic parts are starlike mappings.We derive some properties and characteristics for this class,such as the bounds of Toeplitz determinant...In this paper,we study a subclass of close-to-convex harmonic mappings whose analytic parts are starlike mappings.We derive some properties and characteristics for this class,such as the bounds of Toeplitz determinants,bounds of Hankel determinants,Zalcman functional and Bohr's inequality.展开更多
In this paper,we discuss the sense-preserving univalent harmonic mappings from the unit disk D onto asymmetrical vertical strips Ωα={ω：α-π/2sinαR（ω）α/2sinα},π/2≤απSuch results as analytic representatio...In this paper,we discuss the sense-preserving univalent harmonic mappings from the unit disk D onto asymmetrical vertical strips Ωα={ω：α-π/2sinαR（ω）α/2sinα},π/2≤απSuch results as analytic representation formula,coefficient estimates,distortion theorem and area theorem are derived.展开更多
基金Supported by the Natural Science Foundation of Hunan Province(Grant No.2022JJ30185)the Postgraduate Research and Practice Innovation Program of Jiangsu Province(Grant No.KYCX230410)+2 种基金the China Scholarship Council(Grant No.202306840137)the National Natural Science Foundation of China(Grant No.62063029)the Science and Technology Support Project of Pingxiang City(Grant No.2020C0102)。
文摘In this paper,we study a subclass of close-to-convex harmonic mappings whose analytic parts are starlike mappings.We derive some properties and characteristics for this class,such as the bounds of Toeplitz determinants,bounds of Hankel determinants,Zalcman functional and Bohr's inequality.
基金Supported by NSFC(Grant Nos.11301008,11371126,11226088)the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institution of Hu'nan Provincethe Foundation of Educational Committee of He'nan Province(Grant No.15A11006)
文摘In this paper,we discuss the sense-preserving univalent harmonic mappings from the unit disk D onto asymmetrical vertical strips Ωα={ω：α-π/2sinαR（ω）α/2sinα},π/2≤απSuch results as analytic representation formula,coefficient estimates,distortion theorem and area theorem are derived.
