Zitieren

[1] B. Riemann, Theorie der Abelschen Functionen, J. Reine Angew. Math., 54 (1867), 101-155.Search in Google Scholar

[2] L. Bieberbach, Über die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln, Sitzungsber. Preuss. Akad. Wiss. Phys-Math. Kl., 138 (1916), 940-955.Search in Google Scholar

[3] H. Grötzsch, Über einige Extremalprobleme der konformen Abbildung. I, II, Ber. Verh. Sächs. Akad. Wiss. Leipzig, Math.-Phys., 80(6) (1928), 367-376, 497-502.Search in Google Scholar

[4] O. Teichmüller, Collected Papers, Springer, Berlin, 1982.Search in Google Scholar

[5] M.A. Lavrent’ev, On the theory of conformal mappings, Tr. Sci. Inst An USSR, 5 (1934), 159–245. (in Russian)Search in Google Scholar

[6] G.M. Goluzin, Geometric theory of functions of a complex variable, Amer. Math. Soc. Providence, RI, 1969.10.1090/mmono/026Search in Google Scholar

[7] J. Jenkins, Univalent Functions and Conformal Mapping, Springer Verlag, Berlin-Göttingen-Heidelberg, 1958.10.1007/978-3-662-34447-7Search in Google Scholar

[8] Z. Nehari, Some inequalities in the theory of functions, Trans. Amer. Math. Soc., 75(2) (1953), 256-286.10.1090/S0002-9947-1953-0056704-1Search in Google Scholar

[9] N.A. Lebedev, The area principle in the theory of univalent functions, Moscow: Science, 1975. (in Russian)Search in Google Scholar

[10] V. Hayman, Multivalent functions, Cambridge University Press, Cambridge, 1958.Search in Google Scholar

[11] P.L. Duren, M. Schiffer, Conformal mappings onto non-overlapping regions, Complex analysis. Basel: Birkhauser Verlag, (1988) 27–39.10.1007/978-3-0348-9158-5_3Search in Google Scholar

[12] R. Kühnau, Über zwei Klassen schlichter konformer Abbildungen, Math. Nachr., 49, No. 1–6, (1971) 173–185.10.1002/mana.19710490112Search in Google Scholar

[13] A.K. Bakhtin, G.P. Bakhtina, Yu.B.Zelinskii, Topological-algebraic structures and geometric methods in complex analysis, Zb. prats of the Inst. of Math. of NASU, 2008. (in Russian)Search in Google Scholar

[14] V.N. Dubinin, Condenser capacities and symmetrization in geometric function theory, Birkhäuser/Springer, Basel, 2014.10.1007/978-3-0348-0843-9Search in Google Scholar

[15] G.V. Kuzmina, Methods of geometric function theory, II, St. Petersbg. Math. J., 5 (1997), 889-930.Search in Google Scholar

[16] P.M. Tamrazov, Extremal conformal mappings and poles of quadratic differentials, Mathematics of the USSR-Izvestiya, 2(5) (1968), 987–996.10.1070/IM1968v002n05ABEH000688Search in Google Scholar

[17] V.N.Dubinin, Symmetrization method in geometric function theory of complex variables, Russian Math. Surveys, 1 (1994), 1-79.10.1070/RM1994v049n01ABEH002002Search in Google Scholar

[18] K. Strebel, Quadratic differentials, Springer-Verlag, 1984.10.1007/978-3-662-02414-0Search in Google Scholar

[19] L.V. Kovalev, On the problem of extremal decomposition with free poles on a circle, Dalnevostochnyi Mat. Sb. 2 (1996), 96-98. (in Russian)Search in Google Scholar

[20] Ja.V. Zabolotnij, Some application of the method of separating transformation in one problem on nonoverlapping domains, Dopov. Nac. akad. nauk Ukr., (9) (2011), 13–17. (in Ukrainian)Search in Google Scholar

[21] I.V. Denega, Quadratic differentials and a separating transformation in extremal problems on non-overlapping domains, Dopov. Nac. akad. nauk Ukr., (4) (2012), 15–19. (in Russian)Search in Google Scholar

[22] A. Targonskii, Extremal problems on the generalized (n, d) -equiangular system of points, An. St. Univ. Ovidius Constanta, Ser. Mat., 22(2) (2014), 239–251.10.2478/auom-2014-0044Search in Google Scholar

[23] Ya. Zabolotnii, I. Dvorak, Some evaluation of maximum of the product of conformal radii for pairwise non-overlapping domains, Lobachevskii Journal of Mathematics, 38(3) (2017), 554-559.10.1134/S1995080217030271Search in Google Scholar

[24] A.K. Bakhtin, Ya.V. Zabolotnii, Estimates of a product of the inner radii of nonoverlapping domains, Journal of Mathematical Sciences, 221(5) (2017), 623–629.10.1007/s10958-017-3255-1Search in Google Scholar

[25] I.V. Denega, Ya.V. Zabolotnii, Estimates of products of inner radii of non-overlapping domains in the complex plane, Complex Variables and Elliptic Equations, 62(11) (2017), 1611–1618.10.1080/17476933.2016.1265952Search in Google Scholar

[26] A.K. Bakhtin, L.V. Vygivska, I.V. Denega, Inequalities for the internal radii of non-overlapping domains, Journal of Mathematical Sciences, 220(5) (2017), 584–590.10.1007/s10958-016-3201-7Search in Google Scholar

[27] A. Bakhtin, L. Vygivska and I. Denega, N-radial systems of points and problems for non-overlapping domains, Lobachevskii Journal of Mathematics, 38(2) (2017), 229–235.10.1134/S1995080217020044Search in Google Scholar

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