Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Lower Coefficient

Abstract

The Lomov regularization method is generalized to a singularly perturbed Cauchy–Riemann equation with a singularity in the lower coefficient.

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Correspondence to A. B. Rasulov or Yu. S. Fedorov.

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Translated by N. Berestova

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Rasulov, A.B., Fedorov, Y.S. Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Lower Coefficient. Comput. Math. and Math. Phys. 60, 1701–1707 (2020). https://doi.org/10.1134/S0965542520100127

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Keywords:

  • Cauchy–Riemann system
  • Dirichlet problem
  • Lomov regularization method
  • Vekua operator