000147173 001__ 147173
000147173 005__ 20241212141913.0
000147173 0247_ $$2doi$$a10.1016/j.cam.2024.116395
000147173 0248_ $$2sideral$$a140852
000147173 037__ $$aART-2025-140852
000147173 041__ $$aeng
000147173 100__ $$0(orcid)0000-0002-3698-6719$$aFerreira, Chelo$$uUniversidad de Zaragoza
000147173 245__ $$aConvergent and asymptotic expansions of the displacement elastodynamic integral in terms of known functions
000147173 260__ $$c2025
000147173 5203_ $$aThe 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.
000147173 536__ $$9info:eu-repo/grantAgreement/ES/MCINN/PID2022-136441NB-I00
000147173 540__ $$9info:eu-repo/semantics/closedAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000147173 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000147173 700__ $$aLópez, José L.
000147173 700__ $$0(orcid)0000-0002-8021-2745$$aPérez Sinusía, Ester$$uUniversidad de Zaragoza
000147173 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000147173 773__ $$g460 (2025), 116395 [9 pp.]$$pJ. comput. appl. math.$$tJournal of Computational and Applied Mathematics$$x0377-0427
000147173 8564_ $$s862699$$uhttps://zaguan.unizar.es/record/147173/files/texto_completo.pdf$$yVersión publicada$$zinfo:eu-repo/date/embargoEnd/2025-11-22
000147173 8564_ $$s1905457$$uhttps://zaguan.unizar.es/record/147173/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada$$zinfo:eu-repo/date/embargoEnd/2025-11-22
000147173 909CO $$ooai:zaguan.unizar.es:147173$$particulos$$pdriver
000147173 951__ $$a2024-12-12-12:44:23
000147173 980__ $$aARTICLE