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Bosirsquo;s method for solving Laplacersquo;s equation

机译:Bosirsquo;s method for solving Laplacersquo;s equation

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摘要

Conformal mapping is used to obtain an implicit solution for a slightly specialized version of a planar electrostatic mirror for which Bosi claims to have obtained an exact solution by means of a Taylor series in the ratio of two dimensions. It is shown that the intervention of logarithmic terms invalidates Bosirsquo;s series after the firsthyphen;order term. Comparison of Bosirsquo;s series for cylindrical and spherical mirrors with the exact expansion for an analogous planar problem suggests that in these cases not even the firsthyphen;order terms are valid.

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