An improved Heaviside approach to partial fraction expansion and its applications
Author: Man, Yiu-Kwong
Source: International Journal of Mathematical Education, Volume 40, Number 6, January 2009 , pp. 808-814(7)
Publisher: Taylor and Francis Ltd
Abstract:
In this note, we present an improved Heaviside approach to compute the partial fraction expansions of proper rational functions. This method uses synthetic divisions to determine the unknown partial fraction coefficients successively, without the need to use differentiation or to solve a system of linear equations. Examples of its applications in indefinite integration, inverse Laplace transforms and linear ordinary differential equations are included.Keywords: improved Heaviside approach; partial fraction expansions; synthetic divisions
Document Type: Research article
DOI: http://dx.doi.org/10.1080/00207390902825310
Affiliations: 1: Department of Mathematics, The Hong Kong Institute of Education, New Territories, Hong Kong
Publication date: 2009-01-01
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