Geodesic
Finite solutions to inverse problem of logarithmic potential
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 65-69 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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N. R. Abubakirov; L. A. Aksent'ev. Finite solutions to inverse problem of logarithmic potential. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 65-69. http://geodesic.mathdoc.fr/item/IVM_2016_10_a7/

[1] Rapoport I. M., “O ploskoi obratnoi zadache teorii potentsiala”, DAN SSSR, 28:4 (1940), 305–307 | MR | Zbl

[2] Rapoport I. M., “Ob odnoi zadache teorii potentsiala”, Ukr. matem. zhurnal, 2:2 (1950), 48–55 | MR | Zbl

[3] Ivanov V. K., “Integralnoe uravnenie obratnoi zadachi logarifmicheskogo potentsiala”, DAN SSSR, 105:3 (1955), 409–412

[4] Ivanov V. K., “O razreshimosti obratnoi zadachi logarifmicheskogo potentsiala v konechnom vide”, DAN SSSR, 106:4 (1956), 598–599 | Zbl

[5] Goluzin G. M., Geometricheskaya teoriya funktsii kompleksnogo peremennogo, Nauka, M., 1966 | MR

[6] Novikov P. S., “O edinstvennosti resheniya obratnoi zadachi teorii potentsiala”, DAN SSSR, 18 (1938), 165–168 | Zbl

[7] Ivanov V. K., Izbrannye nauchnye trudy, Fizmatlit, M., 2008 | MR