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

Yiu Kwong MAN

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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. Copyright © 2011 Newswood Limited.
Original languageEnglish
Title of host publicationProceedings of the World Congress on Engineering 2011, WCE 2011
EditorsS. I. AO, Len GELMAN, David WL HUKINS, Andrew HUNTER, A. M. KORSUNSKY
Place of PublicationHong Kong
PublisherNewswood Limited
Pages237-239
Volume1
ISBN (Print)9789881821065
Publication statusPublished - 2011

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Partial fractions
Denominator
Rational function
Oliver Heaviside
Decompose
Irreducible polynomial
Quadratic Polynomial
System of Linear Equations
Substitution
Division
Roots
Cover
Engineering
Polynomial

Citation

Man, Y. K. (2011). On partial fraction decomposition of rational functions with irreducible quadratic factors in the denominators. In S. I. Ao, L. Gelman, D. W. L. Hukins, A. Hunter, & A. M. Korsunsky (Eds), Proceedings of the World Congress on Engineering 2011, WCE 2011 (Vol. 1, pp.237-239). Hong Kong: Newswood Limited

Keywords

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

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