Extremal problem on (2n, 2m – 1)-system points on the rays

[1] M. A. Lavrent'ev, On the theory of conformal mappings, Tr. Fiz.-Mat. Inst. Akad. Nauk SSSR, 5, 159245 (1934).Search in Google Scholar

[2] G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).Search in Google Scholar

[3] G. P. Bakhtina, Variational Methods and Quadratic Di_erentials in Problems for Disjoint Domains [in Russian], Author's Abstract of the Candidate-Degree Thesis (Physics and Mathematics), Kiev (1975).Search in Google Scholar

[4] V. N. Dubinin, Separating transformation of domains and problems of extremal division, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Ros. Akad. Nauk, 168, 4866 (1988). - 168. - P. 48 - 66.Search in Google Scholar

[5] V. N. Dubinin, Method of symmetrization in the geometric theory of functions of a complex variable, Usp. Mat. Nauk, 49, No.1 (295), 376 (1994).10.1070/RM1994v049n01ABEH002002Search in Google Scholar

[6] V. N. Dubinin, Asymptotic representation of the modulus of a degener- ating condenser and some its applications, Zap. Nauchn. Sem. Peterburg. Otdel. Mat. Inst., 237, 5673 (1997).Search in Google Scholar

[7] Bakhtin, A. K., Bakhtina, G. P., Zelinskii, Yu. B., "Topological-algebraic structures and geometric methods in complex analysis," Proceedings of the Institute of Mathematics of NAS of Ukraine 73 (2008), 308 pp. (Rus- sian).Search in Google Scholar

[8] O. K. Bakhtin, Inequalities for the inner radii of nonoverlapping domains and open sets, Ukr. Mat. Zh., 61, No. 5, 596610 (2009); English transla- tion: Ukr. Math. J., 61, No. 5, 716733 (2009).Search in Google Scholar

[9] Dubinin, V. N., Capacities of condensers and symmetrization in geomet- ric function theory of complex variables, Dalnayka, Vladivostok, 2009 (Russian).Search in Google Scholar

[10] A. K. Bakhtin and A. L. Targonskii, Extremal problems and quadratic di_erentials, Nelin. Kolyvannya, 8, No. 3, 298303 (2005); English trans- lation: Nonlin. Oscillations, 8, No. 3, 296301 (2005).Search in Google Scholar

[11] A. L. Targonskii, Extremal problems of partially nonoverlapping domains on a Riemann sphere, Dopov. Nats. Akad. Nauk Ukr., No. 9, 3136 (2008).Search in Google Scholar

[12] G. V. Kuz'mina, Problem of extremal division of a Riemann sphere, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Ros. Akad. Nauk, 276, 253275 (2001).Search in Google Scholar

[13] E. G. Emel'yanov, On the problem of the maximum of the product of pow- ers of conformal radii of disjoint domains, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Ros. Akad. Nauk, 286, 103-114 (2002).Search in Google Scholar

[14] W. K. Hayman, Multivalent Functions, Cambridge University, Cambridge (1958).Search in Google Scholar

[15] J. A. Jenkins, Univalent Functions and Conformal Mapping, Springer, Berlin (1958).10.1007/978-3-642-88563-1Search in Google Scholar