RT Journal Article
T1 Enhancing CAS improper integrals computations using extensions of the residue theorem
A1 Galán-García, José Luis
A1 Aguilera-Venegas, Gabriel
A1 Galán-García, María Ángeles
A1 Rodríguez-Cielos, Pedro
A1 Rodríguez-Cielos, Ricardo
A1 Atencia-McKillop, Iván
A1 Padilla-Domínguez, Yolanda Carmen
K1 Álgebra
K1 Laplace, Transformación de
K1 Fourier, Transformaciones de
AB In a previous paper, the authors developed new rules for computing improper integrals which allow computer algebra systems (CAS) to deal with a wider range of improper integrals. The theory used in order to develop such rules where Laplace and Fourier transforms and the residue theorem. In this paper, we describe new rules for computing symbolic improper integrals using extensions of the residue theorem and analyze how some of the most important CAS could improve their improper integral computations using these rules. To achieve this goal, different tests are developed. The CAS considered have been evaluated using these tests. The obtained results show that all CAS involved, considering the new developed rules, could improve their capabilities for computing improper integrals. The results of the evaluations of the CAS are described providing a sorted list of the CAS depending on their scores.
PB Springer
YR 2019
FD 2019
LK https://hdl.handle.net/10630/33275
UL https://hdl.handle.net/10630/33275
LA eng
NO Galán-García, J.L., Aguilera-Venegas, G., Galán-García, M.Á. et al. Enhancing Cas improper integrals computations using extensions of the residue theorem. Adv Comput Math 45, 1825–1841 (2019). https://doi.org/10.1007/s10444-018-09660-y
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026