In this paper, we introduce the generalized R oper-Suffridge extension operator for locally biholomorphic mappings. It is sh own that this operator preserves the starlikeness on some Reinhardt domains and does not pre...In this paper, we introduce the generalized R oper-Suffridge extension operator for locally biholomorphic mappings. It is sh own that this operator preserves the starlikeness on some Reinhardt domains and does not preserve convexity for some cases. Meanwhile, the growth theorem and di stortion theorem of the corresponding mappings are given.展开更多
Let B^n be the unit ball in C^n, we study quasi-convex mappings and starlike mappings on B^n. The upper bounds of second order item coefficients ofr quasi-convex mappings and starlike mappings are obtained.
Let B n be the unit ball in C n, we study strongly quasi_convex mappings and starlike mappings on B n. Several problems are discussed: (1) The relationship between strongly quasi_convex mappings and convex mappings...Let B n be the unit ball in C n, we study strongly quasi_convex mappings and starlike mappings on B n. Several problems are discussed: (1) The relationship between strongly quasi_convex mappings and convex mappings(starlike mappings); (2) The second order item coefficients for strongly quasi_convex mappings; (3) The strongly quasi_convex mappings on the unit polydisk.展开更多
In this paper,the integral expression,coefficient inequality and distortion theorems are given for the class of analytic functions L（λ,b,A,B） which defined by making use of Ruscheweyh derivatives.This paper spreads...In this paper,the integral expression,coefficient inequality and distortion theorems are given for the class of analytic functions L（λ,b,A,B） which defined by making use of Ruscheweyh derivatives.This paper spreads the result of [6].展开更多
In this paper, we will investigate convex domains and starlike domains which contain the image set of normalized holomorphic mappings on bounded starlike circular domains in Cn.
文摘In this paper, we introduce the generalized R oper-Suffridge extension operator for locally biholomorphic mappings. It is sh own that this operator preserves the starlikeness on some Reinhardt domains and does not preserve convexity for some cases. Meanwhile, the growth theorem and di stortion theorem of the corresponding mappings are given.
文摘Let B^n be the unit ball in C^n, we study quasi-convex mappings and starlike mappings on B^n. The upper bounds of second order item coefficients ofr quasi-convex mappings and starlike mappings are obtained.
文摘Let B n be the unit ball in C n, we study strongly quasi_convex mappings and starlike mappings on B n. Several problems are discussed: (1) The relationship between strongly quasi_convex mappings and convex mappings(starlike mappings); (2) The second order item coefficients for strongly quasi_convex mappings; (3) The strongly quasi_convex mappings on the unit polydisk.
基金Supported by the Key Scientific Research Fund of Inner Mongolian Educational Bureau(NJ2Y08150)
文摘In this paper,the integral expression,coefficient inequality and distortion theorems are given for the class of analytic functions L（λ,b,A,B） which defined by making use of Ruscheweyh derivatives.This paper spreads the result of [6].
文摘In this paper, we will investigate convex domains and starlike domains which contain the image set of normalized holomorphic mappings on bounded starlike circular domains in Cn.
