Applications of Hermite transforms in computer algebra.
type: Item
instance of: scholarly article
title: Applications of Hermite transforms in computer algebra.
zbMATH Open document ID: 1043.33013
DOI: 10.1016/S0196-8858(03)00013-7
author: Helena Zakrajšek
published in: Advances in Applied Mathematics
publication date: 2003-12-03T00:00:00Z
review text: The author presents an algorithm that compute the Hermite transform of a rational function and use it to find linearly independent solutions of a linear differential equation with polynomial coefficients.
Mathematics Subject Classification ID: 33F10
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 2012774
zbMATH Keywords: Linear differential equation
zbMATH Keywords: Hypergeometric polynomials
zbMATH Keywords: Hermite transform
zbMATH Keywords: Rational functions
reviewed by: Hans Benker
MaRDI profile type: Publication
cites work: Q3471654
cites work: Q4227312
cites work: Q4226958
cites work: Special formal series solutions of linear operator equations
cites work: Q4222737
cites work: Q5784660
cites work: Representations of orthogonal polynomials
cites work: Hypergeometric solutions of linear recurrences with polynomial coefficients
cites work: Expansion of multivariable polynomials in products of orthogonal polynomials in one variable
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description: scientific article; zbMATH DE number 2012774