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

Yiu Kwong MAN

doi:10.1016/j.amc.2012.10.016

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

Yiu Kwong MAN

Department of Mathematics and Information Technology (MIT)

Research output: Contribution to journal › Articles › peer-review

7 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 language	English
Pages (from-to)	3855-3862
Journal	Applied Mathematics and Computation
Volume	219
Issue number	8
DOIs	https://doi.org/10.1016/j.amc.2012.10.016
Publication status	Published - Dec 2012

Keywords

Partial fraction decomposition
Cover-up approach
Irreducible quadratic factors

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

Abstract

Keywords

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