Series expansions of multi-dimensional Mellin convolution integrals

DOI10.1080/10652469.2014.938238zbMath1305.41032OpenAlexW2033506110MaRDI QIDQ2929827

Pedro J. Pagola, José Luis López

Publication date: 14 November 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.938238

zbMATH Keywords

Mellin transformsMellin convolution integralsasymptotic expansions of integralsLauricella's function \(F_{A}\)Watson's lemma for multiple 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)

Uses Software

• DLMF

Cites Work

• Unnamed Item
• On a new approach to convolution constructions
• Explicit error terms for asymptotic expansions of Mellin convolutions
• On the Euler integral representations of hypergeometric functions in several variables
• The Appell’s function $F\textunderscore \{2\}$ for large values of its variables
• Asymptotic Expansions of Mellin Convolution Integrals

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