Asymptotic Expansions of Some Integral Transforms by Using Generalized Functions

DOI10.2307/1998728zbMath0499.41024OpenAlexW4256047830MaRDI QIDQ3965052

Ahmed I. Zayed

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998728

zbMATH Keywords

integral transformgeneralized functionWong's method

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Laplace transform (44A10)

Related Items (3)

Exact expansions of Hankel transforms and related integrals ⋮ Asymptotic behaviour of the H-transform in the complex domain ⋮ Approximations of the Poisson transform for large and small values of the transformation parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit error terms for asymptotic expansions of Mellin convolutions
• Asymptotic expansion of a class of integral transforms with algebraically dominated kernels
• Exact Remainders for Asymptotic Expansions of Fractional Integrals
• Asymptotic Expansion of Multiple Fourier Transforms
• Distributional Derivation of an Asymptotic Expansion
• Error Bounds for Asymptotic Expansions of Integrals
• Error Bounds for Asymptotic Expansions of Hankel Transforms
• Explicit Error Terms for Asymptotic Expansions of Stieltjes Transforms
• Asymptotic Expansion of Laplace Transforms about the Origin using Generalized Functions
• The Distributional Laplace and Mellin Transformations
• The Complex Hankel andI-Transformations of Generalized Functions
• Generalized transforms and their asymptotic behaviour

This page was built for publication: Asymptotic Expansions of Some Integral Transforms by Using Generalized Functions