Geodesic
The Riemann problem in a half-plane for generalized analytic functions with a supersingular point on the contour of the boundary condition
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2023), pp. 98-103

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for a generalized equation Cauchy–Riemann with supersingular coefficients. To solve the problem, it was necessary to derive a structural formula for the general solution of this equation and to investigate the solvability of the Riemann boundary value problem of the theory of analytic functions with an infinite index due to the power-order vorticity point.
Keywords: $A$-integral, conjugate trigonometric series, conjugate function, Cauchy integral, Cauchy type integral. 
@article{IVM_2023_11_a8,
     author = {P. L. Shabalin},
     title = {The {Riemann} problem in a half-plane for generalized analytic functions with a supersingular point on the contour of the boundary condition},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {98--103},
     publisher = {mathdoc},
     number = {11},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_11_a8/}
}
TY  - JOUR
AU  - P. L. Shabalin
TI  - The Riemann problem in a half-plane for generalized analytic functions with a supersingular point on the contour of the boundary condition
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2023
SP  - 98
EP  - 103
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2023_11_a8/
LA  - ru
ID  - IVM_2023_11_a8
ER  - 
%0 Journal Article
%A P. L. Shabalin
%T The Riemann problem in a half-plane for generalized analytic functions with a supersingular point on the contour of the boundary condition
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2023
%P 98-103
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2023_11_a8/
%G ru
%F IVM_2023_11_a8
P. L. Shabalin. The Riemann problem in a half-plane for generalized analytic functions with a supersingular point on the contour of the boundary condition. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2023), pp. 98-103. http://geodesic.mathdoc.fr/item/IVM_2023_11_a8/