A note on uniform asymptotic expansions of finite Knu and related transforms with explicit remainder

DOI10.1016/0022-247X(81)90016-0zbMath0454.44002OpenAlexW2045168849MaRDI QIDQ1149604

S. H. Smith

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(81)90016-0

zbMATH Keywords

asymptotic expansionHankel transformmodified Bessel functioncomplementary incomplete gamma functionsexplicit remainder

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Asymptotic representations in the complex plane (30E15)

Related Items (2)

On K_μTransformation of Distributions ⋮ On the general asymptotic expansions of k_v-transforms

Cites Work

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• Asymptotic expansions of Hankel transforms of functions with logarithmic singularities
• Asymptotic expansion of a class of integral transforms via Mellin transforms
• Asymptotic expansion of a class of integral transforms with algebraically dominated kernels
• Exact Error Terms in the Asymptotic Expansion of a Class of Integral Transforms I. Oscillatory Kernels
• Asymptotic expansion of the Hankel transform with explicit remainder terms
• Error Bounds for Asymptotic Expansions of Hankel Transforms
• Asymptotic Expansions of Integral Transforms of Functions with Logarithmic Singularities
• A tauberian theorem related to the modified Hankel transform
• The Asymptotic Expansions of Hankel Transforms and Related Integrals
• Error Bounds for Stationary Phase Approximations

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