000124063 001__ 124063
000124063 005__ 20241125101131.0
000124063 0247_ $$2doi$$a10.1007/s11139-022-00675-0
000124063 0248_ $$2sideral$$a132448
000124063 037__ $$aART-2023-132448
000124063 041__ $$aeng
000124063 100__ $$0(orcid)0000-0002-3698-6719$$aFerreira, Chelo$$uUniversidad de Zaragoza
000124063 245__ $$aAn asymptotic expansion of the hyberbolic umbilic catastrophe integral
000124063 260__ $$c2023
000124063 5060_ $$aAccess copy available to the general public$$fUnrestricted
000124063 5203_ $$aWe obtain an asymptotic expansion of the hyperbolic umbilic catastrophe integral Ψ(H)(x,y,z):=∫∞−∞∫∞−∞exp(i(s3+t3+zst+yt+xs))dsdt for large values of |x| and bounded values of |y| and |z|. The expansion is given in terms of Airy functions and inverse powers of x. There is only one Stokes ray at argx=π. We use the modified saddle point method introduced in (López et al. J Math Anal Appl 354(1):347–359, 2009). The accuracy and the asymptotic character of the approximations are illustrated with numerical experiments.
000124063 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000124063 590__ $$a0.6$$b2023
000124063 592__ $$a0.712$$b2023
000124063 591__ $$aMATHEMATICS$$b264 / 490 = 0.539$$c2023$$dQ3$$eT2
000124063 593__ $$aAlgebra and Number Theory$$c2023$$dQ1
000124063 594__ $$a1.4$$b2023
000124063 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000124063 700__ $$aLópez, José L.
000124063 700__ $$0(orcid)0000-0002-8021-2745$$aPérez Sinusía, Ester$$uUniversidad de Zaragoza
000124063 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000124063 773__ $$g61, 3 (2023), 921–933$$pRamanujan j.$$tRAMANUJAN JOURNAL$$x1382-4090
000124063 8564_ $$s367874$$uhttps://zaguan.unizar.es/record/124063/files/texto_completo.pdf$$yVersión publicada
000124063 8564_ $$s940170$$uhttps://zaguan.unizar.es/record/124063/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000124063 909CO $$ooai:zaguan.unizar.es:124063$$particulos$$pdriver
000124063 951__ $$a2024-11-22-11:58:57
000124063 980__ $$aARTICLE