A cover-up approach to partial fractions with linear or irreducible quadratic factors in the denominators

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper, a simple cover-up approach for computing partial fractions with linear or irreducible quadratic factors in the denominators is presented. It mainly involves polynomial divisions and substitutions only, without having to factorize the irreducible quadratic factors into linear factors with complex coefficients, to use differentiation or to solve a system of linear equations. Examples and its application to derive some useful formulas of partial fraction decompositions are included. Copyright © 2012 Elsevier Inc.
Original languageEnglish
Pages (from-to)3855-3862
JournalApplied Mathematics and Computation
Volume219
Issue number8
DOIs
Publication statusPublished - Dec 2012

Citation

Man, Y.-K. (2012). A cover-up approach to partial fractions with linear or irreducible quadratic factors in the denominators. Applied Mathematics and Computation, 219(8), 3855-3862.

Keywords

  • Partial fraction decomposition
  • Cover-up approach
  • Irreducible quadratic factors

Fingerprint Dive into the research topics of 'A cover-up approach to partial fractions with linear or irreducible quadratic factors in the denominators'. Together they form a unique fingerprint.