The Riemann problem on a ray for generalized analytic functions with a singular line
| Autor: | Shabalin, Pavel Leonidovich, Faizov, Rafael Rustamovich |
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| Jazyk: | English<br />Russian |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, Vol 23, Iss 1, Pp 58-69 (2023) |
| Druh dokumentu: | article |
| ISSN: | 1816-9791 2541-9005 |
| DOI: | 10.18500/1816-9791-2023-23-1-58-69 |
| Popis: | In this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on a ray for a generalized Cauchy – Riemann equation with a singular coefficient. For the solution of this problem, we derived a formula for the general solution of the generalized Cauchy – Riemann equation under constraints that led to an infinite index of logarithmic order of the accompanying problem for analytical functions. We have obtained a formula for the general solution of the Riemann problem and conducted a complete study of the existence and the number of solutions of a boundary value problem for generalized analytic functions with a singular line. |
| Databáze: | Directory of Open Access Journals |
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