A RADIUS OF ABSOLUTE CONVERGENCE FOR MULTIVARIATE POWER SERIES
Ural Dj. Bekbaev · International Journal of Pure and Apllied Mathematics · 2013
In this paper a new (symmetric) product for matrices, entries of which are located by pair of multi-indices, and norms of such matrices are introduced.They are used to represent multivariate power series as series in one (vector) variable and to introduce a radius of absolute convergence.For the radius of absolute convergence a formula, similar to ordinary Cauchy-Hadamard formula in one variable case, is given.Some open problems related to the radius of absolute convergence are set.