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

Abstract EN

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 R or C .

The method is based on a recursive computation of the h -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.