Explicit energy calculation for a charged elliptical plate

DOI10.1016/j.aml.2013.03.010zbMath1308.31004OpenAlexW2107756214MaRDI QIDQ2339055

Paul A. Martin

Publication date: 30 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.03.010

zbMATH Keywords

Jacobi polynomialscharged elliptical plate

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Uses Software

• DLMF

Cites Work

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• Explicit computation of the electrostatic energy for an elliptical charged disc
• Some integral relations of Hankel transform type and applications to elasticity theory
• Exact solution of some integral equations over a circular disc
• Generation of Internal Gravity Waves by an Oscillating Horizontal Elliptical Plate
• On the Solution of an Integral Equation Arising in Potential Problems for Circular and Elliptic Disks
• ON THE PROBLEM OF THE ELECTRIFIED ELLIPTIC DISK
• ORTHOGONAL POLYNOMIAL SOLUTIONS FOR PRESSURIZED ELLIPTICAL CRACKS
• Low-frequency acoustic diffraction by a soft elliptic disk

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