naa a22 4500 510781519 CHVBK 20180411083249.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1007/s11854-013-0012-3 doi (NATIONALLICENCE)springer-10.1007/s11854-013-0012-3 Gol'dberg's constants [Elektronische Daten] [Walter Bergweiler, Alexandre Eremenko] We study two extremal problems of geometric function theory introduced by A. A. Gol'dberg in 1973. For one problem we find the exact solution, and for the second one we obtain partial results. In the process, we study the lengths of hyperbolic geodesics in the twice punctured plane, prove several results about them, and make a conjecture. Gol'dberg's problems have important applications to control theory. Hebrew University Magnes Press, 2013 Bergweiler Walter Mathematisches Seminar, Christian-Albrecht-Universität zu Kiel, Ludewig-Meyn-Strasse 4, 24098, Kiel, Germany aut Eremenko Alexandre Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA aut Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 365-402 0021-7670 119:1<365 2013 119 11854 https://doi.org/10.1007/s11854-013-0012-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11854-013-0012-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bergweiler Walter Mathematisches Seminar, Christian-Albrecht-Universität zu Kiel, Ludewig-Meyn-Strasse 4, 24098, Kiel, Germany aut NATIONALLICENCE 700 1- Eremenko Alexandre Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA aut NATIONALLICENCE 773 0- Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 365-402 0021-7670 119:1<365 2013 119 11854 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer