关键词: Polar coordinates, multiple Taylor series, random Taylor series

Abstract:

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 other properties of the series may also be studied. For some random multiple Taylor series there are some corresponding properties.

Key words: Polar coordinates, multiple Taylor series, random Taylor series