Abstract
A new approach is presented for solving the title problems. The method presents further extension of previously obtained results to the case of toroidal coordinates. The method allows us to solve non-axisymmetric problems exactly and in closed form, with no integral transform or special function expansions involved. Some integrals of fundamental value, involving distances between several points, are established.
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Fabrikant, V.I. Mixed boundary value problem of potential theory in toroidal coordinates. Z. angew. Math. Phys. 42, 680–707 (1991). https://doi.org/10.1007/BF00944766
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DOI: https://doi.org/10.1007/BF00944766