On partial fraction decomposition of rational functions with irreducible quadratic factors in the denominators

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Abstract

In this paper, we present a new approach to partial fraction decomposition of rational functions with irreducible quadratic factors in the denominators. It improves the Heaviside’s cover-up technique to handle this type of problem via polynomial divisions and substitutions only, with no need to solve for the complex roots of the irreducible quadratic polynomial involved, to use differentiation or to solve a system of linear equations. Some examples of its applications in engineering mathematics are included.
Original languageEnglish
Publication statusPublished - 2011

Citation

Man, Y. K. (2011, July). On partial fraction decomposition of rational functions with irreducible quadratic factors in the denominators. Paper presented at The World Congress on Engineering 2011, WCE 2011, Imperial College, London, U.K.

Keywords

  • Partial fraction decomposition
  • The Heaviside’s cover-up technique
  • Inverse Laplace transforms
  • Linear differential equations

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