Asymptotic Expansions of Mellin Convolution Integrals

DOI10.1137/060653524zbMath1226.41013OpenAlexW2021233612MaRDI QIDQ3503951

José Luis López García

Publication date: 10 June 2008

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060653524

zbMATH Keywords

Mellin transformsMellin convolution integralsasymptotic expansions of integrals

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Analytic continuation of functions of one complex variable (30B40)

Related Items (10)

An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions ⋮ Series expansions of multi-dimensional Mellin convolution integrals ⋮ The second Appell function for one large variable ⋮ Uniform approximations of the first symmetric elliptic integral in terms of elementary functions ⋮ Computation of Mellin convolution integrals with a logarithmic kernel: application to the third Appell function ⋮ The Appell’s function $F\textunderscore \{2\}$ for large values of its variables ⋮ Uniform asymptotic methods for integrals ⋮ Effective estimation of some oscillatory integrals related to infinitely divisible distributions ⋮ Asymptotic expansions of mellin convolution integrals: an oscillatory case ⋮ Asymptotics of the first Appell functionF₁with large parameters II

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