On a Dirichlet Problem for a Generalized Beltrami Equation

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Abstract

In this article we study a Dirichlet problem for a hypercomplex Beltrami equation. We prove the existence of a unique solution of the problem and give a representation formula for the solution.

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Hypercomplex analysis, Hypercomplex Beltrami equation, Pi-operator, Boundary value problems, Π -Operator, \(\Pi \)-operator, hypercomplex Beltrami equation, Functions of hypercomplex variables and generalized variables, boundary value problems, Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.)

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0101 mathematics, 01 natural sciences

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28

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3

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checked on Jun 26, 2026

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