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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2022 Volume 62, Number 11, Pages 1861–1866 (Mi zvmmf11471)

This article is cited in 1 paper

Partial Differential Equations

A linear matching problem for a generalized Cauchy–Riemann equation with super-singular points on a half-plane

I. N. Dorofeeva, A. B. Rasulov

National Research University MPEI, 111250, Moscow, Russia

Abstract: For an equation with the Cauchy–Riemann operator with strong isolated point singularities in the lowest coefficient, an integral representation of the solution is found in the class of functions bounded at infinity and a linear matching problem on the half-plane is studied.

Key words: Cauchy–Riemann operator, strong point singularities, Pompeiu–Vekua operator, half-plane, linear matching problem.

UDC: 517.95

Received: 20.05.2021
Revised: 20.05.2021
Accepted: 07.07.2022

DOI: 10.31857/S0044466922110084


 English version:
Computational Mathematics and Mathematical Physics, 2022, 62:11, 1859–1864

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© Steklov Math. Inst. of RAS, 2025