International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 247-252

Analytic functions over valued fields

R. Bhaskaran and V. Karunakaran

School of Mathematics, Madurai Kamaraj University, Madurai 625 021, India

Received 7 October 1986; Revised 5 June 1987

Copyright © 1990 R. Bhaskaran and V. Karunakaran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. Necessary and sufficient conditions for analytic functions defined on B, B0 with values in K to be injective, necessary and sufficient conditions for fixed points, the problem of subordination are studied in this paper.