%0 Journal Article %T On the Bergman representative coordinates %A Zywomir Dinew %J Mathematics %D 2010 %I arXiv %R 10.1007/s11425-011-4243-4 %X We study the set where the so-called Bergman representative coordinates (or Bergman functions) form an immersion. We provide an estimate of the size of a maximal geodesic ball with respect to the Bergman metric, contained in this set. By concrete examples we show that these estimates are the best possible. %U http://arxiv.org/abs/1001.4206v1