The Laplace equation in the exterior of the Hankel contour and novel identities for hypergeometric functions

DOI10.1098/RSPA.2013.0081zbMath1371.35029arXiv1206.4544OpenAlexW3099899289MaRDI QIDQ5362167

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Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4544

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Integral representations of solutions to PDEs (35C15) Conformal mappings of special domains (30C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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