The Asymptotic Expansions of Hankel Transforms and Related Integrals

DOI10.2307/2005179zbMath0238.44005OpenAlexW4232981073MaRDI QIDQ5648915

Robert F. MacKinnon

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2005179

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Integral transforms of special functions (44A20) Numerical integration (65D30)

Related Items

Exact expansions of Hankel transforms and related integrals, Gaussian multiplicative chaos for Gaussian orthogonal and symplectic ensembles, Schwinger and the ontology of quantum field theory, A note on uniform asymptotic expansions of finite Knu and related transforms with explicit remainder, Self-interaction in the Bopp-Podolsky electrodynamics: Can the observable mass of a charged particle depend on its acceleration?, Fast computation of Bessel transform with highly oscillatory integrands, Asymptotic expansions of Hankel transforms of functions with logarithmic singularities, Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform, Ramanujan's master theorem and two formulas for the zero-order Hankel transform

Cites Work

• Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase
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