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.
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The authors would like to express their sincere thanks and gratitude to the referee for valuable comments and suggestions in the improvement of the manuscript.
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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
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Boughaba, H., Bouternikh, S. & Zerzaihi, T. Results on the Growth of Meromorphic Solutions of some Functional Equations of Painlevé and Schröder Type in Ultrametric Fields. P-Adic Num Ultrametr Anal Appl 16, 14–22 (2024). https://doi.org/10.1134/S2070046624010023
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DOI: https://doi.org/10.1134/S2070046624010023