摘要
In this paper, we investigate some analytic properties for a class of holomorphic matrix- valued functions. In particular, we give a Picard type theorem which depicts the characterization of Picard omitting value in these functions. We also study the relation between asymptotic values and Picard omitting values, and the relation between periodic orbits of the canonical extension on C^2×2 and Julia set of one dimensional complex dynamic system.
In this paper, we investigate some analytic properties for a class of holomorphic matrix- valued functions. In particular, we give a Picard type theorem which depicts the characterization of Picard omitting value in these functions. We also study the relation between asymptotic values and Picard omitting values, and the relation between periodic orbits of the canonical extension on C^2×2 and Julia set of one dimensional complex dynamic system.
基金
Supported by National Natural Science Foundation of China(Grant Nos.11571049,11271215,61370195 and 11101048)
Beijing Natural Science Foundation(Grant No.4132060)
