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One encounters iterated elliptic integrals in the study of Hall effectdevices, as a result of conformal mappings of Schwarz--Christoffel type. Someof these double elliptic integrals possess amazing symmetries with regard tothe physical parameters of the underlying Hall effect devices. We give aunified mathematical treatment of such symmetric double integrals, in thecontext of Hall effect devices with three and four contacts.

Symmetries of certain double integrals related to Hall effect devices