Marco Pedro Ramírez TachiquínO. Rodriguez TorresJ. J. Gutierrez Cortes2026-03-222026-03-22200910.1109/iceee.2009.5393346https://doi.org/10.1109/iceee.2009.5393346https://andeanlibrary.org/handle/123456789/59609Citaciones: 2We introduce a set of linearly independent solutions for the three-dimensional quaternionic electrical impedance equation, when the conductivity is a two-dimensional separable-variables function, and using a generalization of the Beltrami equation, we study two particular cases when the electrical impedance equation turns into a p-analytic system. Then we express analytically its general solution in terms of Taylor series in formal powers. This allows us to introduce a new class of exact solutions for the three-dimensional electrical impedance equation.enElectrical impedanceGeneralizationMathematical analysisMathematicsFunction (biology)Integral equationNew exact solutions for the three-dimensional Electrical Impedance Equation applying quaternionic analysis and pseudoanalytic function theoryarticle