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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2016 Number 10, Pages 65–69 (Mi ivm9165)

This article is cited in 5 papers

Brief communications

Finite solutions to inverse problem of logarithmic potential

N. R. Abubakirov, L. A. Aksent'ev

Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: In this paper we deduce a new solutions set of inverse problems of logarithmic potential in the form of logarithmic function from fraction of identical degree polynomials and give examples of finite solvability of inverse problems.

Keywords: logarithmic potential, integral equation, starlikeness.

UDC: 517.956

Received: 15.03.2016


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:10, 55–58

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© Steklov Math. Inst. of RAS, 2024