Geodesic
Riemann--Hilbert-type problems for the generalized Cauchy--Riemann equation with a leading coefficient having a singularity in a circle
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 3, Tome 232 (2024), pp. 89-98

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In this work, we construct a general solution of the generalized Cauchy-–Riemann equation whose coefficient admits a first-order singularity on a circle contained in the domain, and study a boundary-value problem that combines elements of the Riemann-–Hilbert problem and the linear conjugation problem.
Mots-clés : Cauchy–Riemann equations
Keywords: singularity in the coefficient, Pompeiu–Vekua operator, boundary-value problem 
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     author = {A. B. Rasulov and Yu. S. Fedorov and A. M. Sergeeva},
     title = {Riemann--Hilbert-type problems for the generalized {Cauchy--Riemann} equation with a leading coefficient having a singularity in a circle},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {89--98},
     publisher = {mathdoc},
     volume = {232},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2024_232_a7/}
}
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A. B. Rasulov; Yu. S. Fedorov; A. M. Sergeeva. Riemann--Hilbert-type problems for the generalized Cauchy--Riemann equation with a leading coefficient having a singularity in a circle. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 3, Tome 232 (2024), pp. 89-98. http://geodesic.mathdoc.fr/item/INTO_2024_232_a7/