147173 20260112133356.0 doi 10.1016/j.cam.2024.116395 sideral 140852 ART-2025-140852 eng Ferreira, Chelo Universidad de Zaragoza (orcid)0000-0002-3698-6719 Convergent and asymptotic expansions of the displacement elastodynamic integral in terms of known functions 2025 Access copy available to the general public Unrestricted The integral ∫∞0()()/ (−) plays an essential role in the study of several phenomena in the theory of elastodynamics (Ceballos and Prato, 2014). But an exact evaluation of this integral in terms of known functions is not possible. In this paper, we derive an analytic representation of this integral in the form of convergent series of elementary functions and hypergeometric functions. This series have an asymptotic character for either, small values of the variable s, or for small values of the variables r and R. It is derived by using the asymptotic technique designed in Lopez (2008) for Mellin convolution integrals. Some numerical experiments show the accuracy of the approximation supplied by the first few terms of the expansion. info:eu-repo/grantAgreement/ES/MCINN/PID2022-136441NB-I00 info:eu-repo/semantics/openAccess by-nc-nd https://creativecommons.org/licenses/by-nc-nd/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion López, José L. Pérez Sinusía, Ester Universidad de Zaragoza (orcid)0000-0002-8021-2745 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 460 (2025), 116395 [9 pp.] J. comput. appl. math. Journal of Computational and Applied Mathematics 0377-0427 742630 http://zaguan.unizar.es/record/147173/files/texto_completo.pdf Postprint 1516623 http://zaguan.unizar.es/record/147173/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:147173 articulos driver 2026-01-12-13:21:27 ARTICLE