|
Ky Fan (1914-2010), he spent every waking moment thinking about mathematics
Chuankuan YUAN
Front Math Chin. 2011, 6 (3): 379-390.
https://doi.org/10.1007/s11464-011-0097-x
This survey article on Dr. Ky Fan summarizes his versatile achievements and fundamental contributions in the fields of topological groups, nonlinear and convex analysis, operator theory, linear algebra and matrix theory, mathematical programming, and approximation theory, etc., and as well reveals Fan’s exemplary mathematical formation opening up the beauty of pure mathematics, with natural conditions, concise statements and elegant proofs. This article contains a brief biography of Dr. Fan and epitomizes his life. He was not only a great mathematician, but also a very serious teacher known to be extremely strict to his students. He loved his motherland and made generous donations for promoting mathematical development in China. He devoted his life to mathematics, continued his research and published papers till 85 years old.
References |
Related Articles |
Metrics
|
|
Modified Roper-Suffridge operator for some holomorphic mappings
Shuxia FENG, Lin YU
Front Math Chin. 2011, 6 (3): 411-426.
https://doi.org/10.1007/s11464-011-0116-y
In this paper, we will study the operator given by F(z)=(f(z1)+f′(z1)P(z0),(f′(z1))1/kz0T)T, where z=(z1,zT0)T belongs to the unit ball Bn in ?n, z1∈U=B1, z0=(z2,?,zn)T∈?n-1, and P:?n-1→? is a homogeneous polynomial of degree k (k≥2), the holomorphic branch is chosen such that (f′(0))1/k=1. We will give different conditions for P such that the modified operator preserves the properties of almost spirallikeness of type β and order α, spirallikeness of type β and order α, and strongly spirallikeness of type β and order α, respectively.
References |
Related Articles |
Metrics
|
12 articles
|