Complex Partial Fraction Decompositions of Rational Functions

Journal of Applied & Computational Mathematics

article

Ali Özyapici¹  Cornel S. Pintea² 

[1] Girne American University, Department of Engineering;Babe¸s-Bolyai University, Faculty of Mathematics and Computer Sciences

关键词: Partial fraction;    Complex partial fraction;    Decomposition;    Rational functions;   

DOI  :  10.4172/2168-9679.1000120

来源: Hilaris Publisher

【 摘 要 】

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.

【 授权许可】

Unknown