Email this article On Capabilities of Schwarz Function in the Problems of Logarithmic Potential
- Authors: Abubakirov N.R.1, Aksentev L.A.1
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Affiliations:
- Kazan (Volga region) Federal University
- Issue: Vol 40, No 8 (2019)
- Pages: 1146-1156
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205295
- DOI: https://doi.org/10.1134/S1995080219080031
- ID: 205295
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Abstract
We discuss the capabilities of A. V. Tsirulsky’s method in the solution of direct problems of the logarithmic potential. We give classification of the Schwarz functions that arise in construction of the solutions and study the cases of finite-sheet and infinite-sheet Riemann surfaces.
About the authors
N. R. Abubakirov
Kazan (Volga region) Federal University
Author for correspondence.
Email: abunail@mail.ru
Russian Federation, Kazan, Tatarstan, 420008
L. A. Aksentev
Kazan (Volga region) Federal University
Author for correspondence.
Email: L.Aksentev@kpfu.ru
Russian Federation, Kazan, Tatarstan, 420008
