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-Adic Polynomials and Partial Fraction Decomposition of Proper Rational Functions over or

Kwang Hyun Kim and Xin Zhang

International Journal of Mathematics and Mathematical Sciences, 2018, vol. 2018, 1-6

Abstract:

The partial fraction decomposition technique is very useful in many areas including mathematics and engineering. In this paper we present a new and simple method on the partial fraction decomposition of proper rational functions which have completely factored denominators over or . The method is based on a recursive computation of the -adic polynomial in commutative algebra which is a generalization of the Taylor polynomial. Since its computation requires only simple algebraic operations, it does not require a computer algebra system to be programmed.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:7495964

DOI: 10.1155/2018/7495964

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