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Results on the Growth of Meromorphic Solutions of some Functional Equations of Painlevé and Schröder Type in Ultrametric Fields

  • Houda Boughaba,
  • Salih Bouternikh,
  • Tahar Zerzaihi

摘要

Abstract

Let \(\mathbb{K}\) be a complete ultrametric algebraically closed field of characteristic zero and let \(\mathcal{M}(\mathbb{K})\) be the field of meromorphic functions in all \(\mathbb{K}\) . In this paper, we investigate the growth of meromorphic solutions of some difference and \(q\) -difference equations. We obtain some results on the growth of meromorphic solutions when the coefficients in such equations are rational functions.