On the asymptotics of a Bessel-type integral having applications in wave run-up theory

DOI10.1134/S0001434617110141zbMath1384.42001OpenAlexW2777398355MaRDI QIDQ1702480

S. Yu. Dobrokhotov, Vladimir E. Nazaikinskii

Publication date: 28 February 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617110141

zbMATH Keywords

wave equationBessel functionuniform asymptoticsdegeneration of stationary pointsrapidly oscillating integral

Mathematics Subject Classification ID

Wave equation (35L05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

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Cites Work

• Unnamed Item
• New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics
• Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation
• On the roots of 𝑓(𝑧)=𝐽₀(𝑧)-𝑖𝐽₁(𝑧)

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