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https://elib.psu.by/handle/123456789/31703| Title: | Multy-Dimentional Integral Transform with the Confluent Hypergeometric Kummer Function in the Kernel and Integral Equation of the First Kind |
| Authors: | Vilishchuk, M. Skoromnik, O. |
| Issue Date: | 2018 |
| Publisher: | Полоцкий государственный университет |
| Citation: | Vilishchuk, M. Multy-Dimentional Integral Transform with the Confluent Hypergeometric Kummer Function in the Kernel and Integral Equation of the First Kind / M. Vilishchuk, O. Skoromnik // European and National Dimension in Research = Европейский и национальный контексты в научных исследованиях : electronic collected materials of X Junior Researcher' Conference, Novopolotsk, May 10-11, 2018 : in 3 parts / Ministry of Education of Belarus, Polotsk State University ; ed. D. Lazouski [et al.]. - Novopolotsk : PSU, 2018. - Part 3 : Technology. - P. 200-201. |
| Abstract: | Multy-dimentional integral transform involving Kummer function in the kernel is studied on the space of summable functions on a finite domain [a?, b?]*...*[ an b]n? R ?. Mapping properties such as the boundedness are given, and the inversion formula is established. Integral equation of the first kind with the Kummer function in the kernel is also considered. The solution of the investigating equation is established, and conditions for it solvability in the space of summable functions are given. |
| URI: | https://elib.psu.by/handle/123456789/31703 |
| Appears in Collections: | European and National Dimension in Research. Technology. 2018 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| 200-201.pdf | 166.1 kB | Adobe PDF | View/Open |
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