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In this paper we consider inhomogeneous generalized Helmholtz type equations (Δ+λ2)u=f in the annulus of an arbitrary ball in ℝ3 with given boundary conditions, where we assume that λ is an arbitrary complex number. Applying the hypercomplex operator calculus, one can express the solutions in terms of quaternionic integral operators. The quantitative entities to be determined in order to calculate...
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