http://dspace.bsu.edu.ru/handle/123456789/45786| Title: | Linear conjugation problems |
| Authors: | Tran Quang Vuong |
| Keywords: | mathematics mathematical analysis linear conjugation problems the goursat formula Cauchy singular integral functions of canonic matrices singular integral equations |
| Issue Date: | 2020 |
| Citation: | Tran Quang Vuong. Linear conjugation problems / Tran Quang Vuong // Прикладная математика & Физика. - 2020. - Т.52, №2.-С. 55-61. - Doi: 10.18413/2687-0959-2020-52-2-55-61. |
| Abstract: | We investigate the linear conjugation problem for polyanalytic functions using function theory and Cauchy-type integrals. We explicitly construct a canonical matrix-function by using the recurrence procedure and use it to study the linear conjugation problem. We found a solutions of the linear conjugation problem and given a formula for its index by using Cauchy type integrals. We got a representation of the solution of the linear conjugation problem through the canonical matrix-function, which is constructed explicitly |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/45786 |
| Appears in Collections: | Т. 52, № 2 |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Vyong_Linear.pdf | 187.79 kB | Adobe PDF | View/Open |
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