In this note, we consider power series f w(z)=∑∞n=0a ne iw n z nwhere moduli a n of the coefficients are given but the argument α n are random. We discuss the conditions of f w is in α_ Bloch space ...In this note, we consider power series f w(z)=∑∞n=0a ne iw n z nwhere moduli a n of the coefficients are given but the argument α n are random. We discuss the conditions of f w is in α_ Bloch space and little α_ Bloch space. Our results generalize Anderson, Clunie and Pommerenke's.展开更多
In this paper, the classical concept of properly divergent is generalized, thereby a theorem of power series is extended into a very general case, and its applications in various series of complex functions are discus...In this paper, the classical concept of properly divergent is generalized, thereby a theorem of power series is extended into a very general case, and its applications in various series of complex functions are discussed.展开更多
文摘In this note, we consider power series f w(z)=∑∞n=0a ne iw n z nwhere moduli a n of the coefficients are given but the argument α n are random. We discuss the conditions of f w is in α_ Bloch space and little α_ Bloch space. Our results generalize Anderson, Clunie and Pommerenke's.
文摘In this paper, the classical concept of properly divergent is generalized, thereby a theorem of power series is extended into a very general case, and its applications in various series of complex functions are discussed.
