摘要
在形式幂级数收敛集定义的基础上,证明了形式幂级数的收敛集通过共形映射(M觟bius变换)作用后仍为收敛集及收敛集的一些主要性质。由于初等变换的复合仍为初等变换,故本文主要讨论收敛集经过平移、伸缩、反演3种变换后仍为收敛集。收敛集及收敛集的性质在许多实际应用中具有重要意义和价值,文章给出了一些具体的例子以便学习者加深对该知识的理解。
On the basis of the definition of the convergent sets, this paper mainly proves that the convergent sets of formal power series are still convergent sets through M^bius transform, this is very important in the practical application, and it gives some examples to apply this theory.
出处
《天津职业技术师范大学学报》
2013年第4期32-33,42,共3页
Journal of Tianjin University of Technology and Education
