Fourier-Mellin transforms for circular domains

DOI10.1007/s40315-015-0139-6zbMath1331.44001OpenAlexW1785507644WikidataQ59410254 ScholiaQ59410254MaRDI QIDQ902198

Darren G. Crowdy

Publication date: 7 January 2016

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-015-0139-6

zbMATH Keywords

Fourier transformMellin transformboundary value problemsLaplace's equationtransform methodcircular domains

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (7)

Uniform flow past a periodic array of cylinders ⋮ Exact Formulae for the Effective Slip Length of a Symmetric Superhydrophobic Channel with Flat or Weakly Curved Menisci ⋮ A constructive method for plane-wave representations of special functions ⋮ Geometry-Fitted Fourier-Mellin Transform Pairs ⋮ A Hybrid Analytical-Numerical Technique for Elliptic PDEs ⋮ The unified transform for mixed boundary condition problems in unbounded domains ⋮ Linearizable boundary value problems for the elliptic sine-Gordon and the elliptic Ernst equations

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