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

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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.

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Authors and Affiliations

  1. N. I. Lobachevskii Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008, Russia

    N. R. Abubakirov & L. A. Aksentev

Authors
  1. N. R. Abubakirov
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  2. L. A. Aksentev
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Correspondence to N. R. Abubakirov.

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(Submitted by A. M. Elizarov)

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Abubakirov, N.R., Aksentev, L.A. Classes of Finite Solutions to the Inverse Problem of the Logarithmic Potential. Lobachevskii J Math 39, 151–160 (2018). https://doi.org/10.1134/S1995080218020026

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  • DOI: https://doi.org/10.1134/S1995080218020026

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