The asymptotic behaviour of Ramanujan's integral and its application to two-dimensional diffusion-like equations

DOI10.1017/S0956792599004039zbMath0948.35025OpenAlexW2131800655MaRDI QIDQ4486085

Stefan G. Llewellyn Smith

Publication date: 26 November 2000

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792599004039

zbMATH Keywords

heat equationmatched asymptotic expansionsSchrödinger's equationanalytic continuation of Ramanujan's integralinverse logarithmic decay in time

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integral representations of solutions to PDEs (35C15)

Related Items (3)

Sharp bounds for the modulus and phase of Hankel functions with applications to Jaeger integrals ⋮ On the slow motion of a spheroid in a rotating stratified fluid ⋮ Generalization of the Ramanujan's integrals for the Volterra μ -functions via complex contours: representations and approximations

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