FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
The Fekete-Szego problem by a variational method |
Borisova Y.V., Kolesnikov I.A., Kopanev S.A., Sadritdinova G.D. |
2021, issue 2, P. 133–150 DOI: https://doi.org/10.47910/FEMJ202112 |
Abstract |
| The article is devoted to the well-known Fekete and Szego problem. The paper investigate the problem in sufficient detail using some new observations by the classical method of internal variations, developed at the Tomsk School of Complex Analysis. One particular case is considered. We carried out complete qualitative analysis of the functional-differential equation relative boundary mapping. We completely solved the problem for the real parameter. |
Keywords: extremal problem, variational method, Fekete and Szego problem, functional |
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References |
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