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Lobachevskii Journal of Mathematics

, Volume 39, Issue 2, pp 151–160 | Cite as

Classes of Finite Solutions to the Inverse Problem of the Logarithmic Potential

  • N. R. Abubakirov
  • L. A. Aksentev
Article

Abstract

We obtain a new class of solutions to the inverse problems of the logarithmic potential in the form of a logarithmic function of a ratio of polynomials of the same degree. We give examples of finite solvability of the inverse problems.

Keywords and phrases

logarithmic potential integral equation univalence starlike 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.N. I. Lobachevskii Institute of Mathematics and MechanicsKazan (Volga Region) Federal UniversityKazan, TatarstanRussia

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