SOME PROPERTIES OF MULTIPLE TAYLOR SERIES AND RANDOM TAYLOR SERIES

• 作 者: 余家荣
• 机 构: SchoolofMathematicsandStatistics
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2006年3期
• 关键词: 极坐标 多重Taylor级数 任意Taylor级数 相应性 Polar coordinates multiple Taylor series random
• 基金项目: In writing this article the author is inspired by some works of Prof. J.-P. Kahane [2] and Profs. P.Lelong and L.Gruman [3] and he would thank very much these mathematicians.

<正>Some polar coordinates are used to determine the domain and the ball of convergence of a multiple Taylor series. In this domain and in this ball the series converges, converges absolutely and converges uniformly on any compact set. Growth and oth