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We give an overview of recent advances in analysis of equations ofelectrodynamics with the aid of biquaternionic technique. We discuss bothmodels with constant and variable coefficients, integral representations ofsolutions, a numerical method based on biquaternionic fundamental solutions forsolving standard electromagnetic scattering problems, relations betweendifferent operators of mathematical physics including the Schrodinger, theMaxwell system, the conductivity equation and others leading to a deeperunderstanding of physics and mathematical properties of the equations.

Biquaternions for analytic and numerical solution of equations of electrodynamics