A convergent version of Watson''s lemma for double integrals

Ferreira, C. (Universidad de Zaragoza) ; López, José L. ; Pérez Sinusía, Ester (Universidad de Zaragoza)

Resumen: A modification of Watson''s lemma for Laplace transforms (Formula presented.) was introduced in Nielsen, 1906], deriving a new asymptotic expansion for large (Formula presented.) with the extra property of being convergent as well. Inspired in that idea, in this paper we derive asymptotic expansions of two-dimensional Laplace transforms (Formula presented.) for large (Formula presented.) and (Formula presented.) that are also convergent. The expansions of (Formula presented.) are accompanied by error bounds. Asymptotic and convergent expansions of some special functions are given as illustration.

Idioma: Inglés

DOI: 10.1080/10652469.2022.2098955

Año: 2023

Publicado en: Integral transforms and special functions 34, 3 (2023), 196-210
ISSN: 1065-2469

Factor impacto JCR: 0.7 (2023)

Categ. JCR: MATHEMATICS rank: 218 / 490 = 0.445 (2023) - Q2 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 237 / 332 = 0.714 (2023) - Q3 - T3

Factor impacto CITESCORE: 2.2 - Analysis (Q2) - Applied Mathematics (Q3)

Factor impacto SCIMAGO: 0.597 - Applied Mathematics (Q2) - Analysis (Q2)

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)