An Easy Pure Algebraic Method for Partial Fraction Expansion of Rational Functions With Multiple High-Order Poles

摘要

An easy practical algebraic algorithm was proposed for partial expansion of rational functions with multiple high-order poles. The simple recursive implementation of the proposed method involves neither long division nor differentiation and requires only elementary arithmetic operations. It is suitable for computer or hand calculation of partial expansion of both proper and improper functions with multiple high-order poles with desirable accuracy.