## International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia

Tahar Zerzaihi

### Meromorphic solutions of some $q$-difference equations in $p$-adic fields

Abstract

Let $K$ be a complete ultrametric algebraically closed field. In this work, we investigate meromorphic, in all $K$, solutions of some $q$-differenc equations and prove a number of results. Also, we give estimates for the growth of these meromorphic solutions under certain conditions on the coefficients in such equations.