naa a22 4500 510781357 CHVBK 20180411083248.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s11854-013-0029-7 doi (NATIONALLICENCE)springer-10.1007/s11854-013-0029-7 A principal function problem and the field of meromorphic functions [Elektronische Daten] [Mikihiro Hayashi, Mitsuru Nakai] Let R be an open Riemann surface and A an open subset of R. For a given meromorphic function s on A, we show, under an additional condition on A, that there exists a meromorphic function q on R such that both q/s and s/q are bounded functions on A. Hebrew University Magnes Press, 2013 Hayashi Mikihiro Professor Emeritus, Hokkaido University, 060-0810, Sapporo, Japan aut Nakai Mitsuru Professor Emeritus, Nagoya Institute of Technology, 466-8555, Gokiso, Showa, Nagoya, Japan aut Journal d'Analyse Mathématique Springer US; http://www.springer-ny.com 121/1(2013-10-01), 127-140 0021-7670 121:1<127 2013 121 11854 https://doi.org/10.1007/s11854-013-0029-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11854-013-0029-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hayashi Mikihiro Professor Emeritus, Hokkaido University, 060-0810, Sapporo, Japan aut NATIONALLICENCE 700 1- Nakai Mitsuru Professor Emeritus, Nagoya Institute of Technology, 466-8555, Gokiso, Showa, Nagoya, Japan aut NATIONALLICENCE 773 0- Journal d'Analyse Mathématique Springer US; http://www.springer-ny.com 121/1(2013-10-01), 127-140 0021-7670 121:1<127 2013 121 11854 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer