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

被引:6
作者
Abubakirov, N. R. [1 ]
Aksentev, L. A. [1 ]
机构
[1] Kazan Volga Reg Fed Univ, NI Lobachevskii Inst Math & Mech, Kremlevskaya Ul 18, Kazan 420008, Tatarstan, Russia
关键词
logarithmic potential; integral equation; univalence; starlike;
D O I
10.1134/S1995080218020026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:151 / 160
页数:10
相关论文
共 9 条
[1]   Finite Solutions to the Inverse Problem of the Logarithmic Potential [J].
Abubakirov, N. R. ;
Aksent'ev, L. A. .
RUSSIAN MATHEMATICS, 2016, 60 (10) :55-58
[2]  
Goluzin G. M., 1969, TRANSL MATH MONGRAPH, V26
[3]  
Ivanov V K, 2008, SELECTED SCI PAPERS
[4]  
IVANOV VK, 1955, DOKL AKAD NAUK SSSR+, V105, P409
[5]  
IVANOV VK, 1956, DOKL AKAD NAUK SSSR+, V106, P598
[6]  
Lavrentev M. A., 1987, METHODS THEORY FUNCT, VFifth
[7]  
Novikov P.S, 1938, DOKL AKAD NAUK+, V18, P165
[8]  
Rapoport I. M., 1940, DOKL AKAD NAUK SSSR, V28, P305
[9]  
Rapoport I.M., 1950, UKR MAT ZH, V2, P48