Classes of Finite Solutions to the Inverse Problem of the Logarithmic Potential
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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 phraseslogarithmic potential integral equation univalence starlike
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- 6.P. S. Novikov, “On uniqueness of the inverse problem of the theory of potential,” Dokl. Acad. Sci. USSR 18, 165–168 (1938).Google Scholar
- 7.M. A. Lavrentev and B. V. Shabat, Methods of the Theory of Function of Complex Variable (Nauka, Moscow, 1987) [in Russian].Google Scholar
- 9.V. K. Ivanov, Selected Scientific Papers (Fizmatlit, Moscow, 2008) [in Russian].Google Scholar