एप्लाइड और कम्प्यूटेशनल गणित जर्नल

Complex Partial Fraction Decompositions of Rational Functions

Abstract

Ali Özyapici and Cornel S. Pintea

This work is aimed to obtain the complex partial fraction decompositions of rational functions. We express the coefficients of complex partial fraction decomposition of arbitrary rational functions in terms of the coefficients of their real partial fraction decomposition. This type of decompositions is then used to generalize the high order derivatives of such rational functions. Moreover, different applications are selected to demonstrate the applicability of introduced algorithms.