Neumann-Weber integral transform for complex indices

DOI10.1063/1.5049525zbMath1422.35098OpenAlexW2940407411WikidataQ128113873 ScholiaQ128113873MaRDI QIDQ5379398

Lukas R. Buschle, Felix T. Kurz, Heinz-Peter Schlemmer, Christian H. Ziener

Publication date: 28 May 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5049525

zbMATH Keywords

complex Bessel indicesNeumann-Weber integral transform

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Heat equation (35K05) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• Mathieu functions for purely imaginary parameters
• Note on the complex zeros of \(H^{\prime}_{\nu}+\mathrm i\zeta H_{\nu}(x)=0\)
• A generalized Weber transform and its inverse formula
• Zeros of the Macdonald function of complex order
• Calculation of the eigenvalues of mathieu's equation with a complex parameter
• On the calculation of the multiple complex roots of the derivatives of cylindrical Bessel functions
• A new Weber-type transform
• Calculation of the complex zeros of Hankel functions and their derivatives
• The inverse Laplace transform of the modified Lommel functions
• Zeros of Hankel Functions and Poles of Scattering Amplitudes