International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 247-252
doi:10.1155/S0161171290000370
Analytic functions over valued fields
R. Bhaskaran
and V. Karunakaran
School of Mathematics, Madurai Kamaraj University, Madurai 625 021, India
Abstract
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.