On integral transforms whose kernels are solutions of singular Sturm–Liouville problems

DOI10.1017/S0308210500014621zbMath0649.44003OpenAlexW2081130392MaRDI QIDQ3794685

Ahmed I. Zayed

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500014621

zbMATH Keywords

representationasymptotic expansionsAbel summabilitysingular Sturm-Liouville problems

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Ordinary differential operators (34L99)

Related Items (4)

Inversion of integral transforms associated with a class of perturbed heat equations ⋮ Sampling theorems associated with singular \(q\)-Sturm Liouville problems ⋮ Generalization of a theorem of Boas to a class of integral transforms ⋮ Paley-Wiener-type theorems for a class of integral transforms

Cites Work

• Asymptotic expansion of a class of integral transforms via Mellin transforms
• Real Singularities of Singular Sturm–Liouville Expansions
• Error Bounds for Asymptotic Expansions of Integrals
• Error Bounds for Asymptotic Expansions of Hankel Transforms
• Error Bounds for Stationary Phase Approximations
• Unnamed Item

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