General solution of a Cauchy-Riemann-type equation with power-law singularities in lower-order coefficients

DOI10.1134/S0001434620110164zbMath1456.30086OpenAlexW3113340733WikidataQ114847437 ScholiaQ114847437MaRDI QIDQ2217275

A. B. Rasulov

Publication date: 29 December 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620110164

zbMATH Keywords

elliptic equationCauchy-Riemann equationPompeiu operator

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Cites Work

• Boundary value problem for a generalized Cauchy-Riemann equation with singular coefficients
• On continuous solutions of a generalized Cauchy-Riemann system with more than one singularity.
• Representation of solutions of a singular Cauchy–Riemann equation in the plane
• Dirichlet problems for generalized Cauchy–Riemann systems with singular coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: General solution of a Cauchy-Riemann-type equation with power-law singularities in lower-order coefficients