Hadamard products of rational formal power series
type: Item
instance of: scholarly article
title: Hadamard products of rational formal power series
zbMATH Open document ID: 0703.13017
DOI: 10.1016/0021-8693(90)90039-Q
author: Christopher F. Woodcock
author: H. Sharif
published in: Journal of Algebra
publication date: 1990-01-01T00:00:00Z
review text: The Hadamard product of two rational formal series in one variable over an arbitrary field is again a rational formal series. If we take more than one variable, the result remains valid provided the characteristic of the field of coefficients is different from zero. Using a two variable version of the Newton-Puiseux theorem, the authors prove the above result for the two variables case when the characteristic is zero. The result is not true in case there are three or more variables and the characteristic is zero.
Mathematics Subject Classification ID: 13F25
zbMATH DE Number: 4152546
zbMATH Keywords: Hadamard product
zbMATH Keywords: rational formal series
zbMATH Keywords: Newton-Puiseux theorem
reviewed by: N. Sankaran
MaRDI profile type: Publication
cites work: Some Properties of Ideals in Rings of Power Series
cites work: Q5589310
cites work: Algebraic Functions Over a Field of Positive Characteristic and Hadamard Products
cites work: Q5799167
cites work: On the transcendence of certain series
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description: scientific article; zbMATH DE number 4152546