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arXiv · 1805.00629

Symmetries of certain double integrals related to Hall effect devices

Udo Ausserlechner. M. L. Glasser·Yajun Zhou
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Abstract

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

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Udo Ausserlechner. M. L. Glasser, Yajun Zhou. 2018-05-02. Symmetries of certain double integrals related to Hall effect devices. https://doi.org/10.1007/s11139-019-00212-6

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