An improved Heaviside approach to partial fraction expansion and its applications

• Autores: Yiu-Kwong Man
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 40, Nº. 6, 2009, págs. 808-814
• Idioma: inglés
• DOI: 10.1080/00207390902825310
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• Resumen

  • 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.