Article

A RADIUS OF ABSOLUTE CONVERGENCE FOR MULTIVARIATE POWER SERIES

Ural BekbaevINSPEM, Universiti Putra Malaysia MALAYSIA

International Journal of Pure and Apllied Mathematicsjournal2013en

ABI

Abstract

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.

Topics

Matrix Theory and Algorithms Control Systems and Identification Approximation Theory and Sequence Spaces

Identifiers

DOI: 10.12732/ijpam.v84i5.2

Citations and references

Cited by 04 references

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