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

IF 0.5 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS P-Adic Numbers Ultrametric Analysis and Applications Pub Date : 2024-02-12 DOI:10.1134/s2070046624010023

Houda Boughaba, Salih Bouternikh, Tahar Zerzaihi

引用次数: 0

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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关于超对称场中某些潘勒夫和施罗德函数方程的同态解增长的结果

摘要让 \(\mathbb{K}\) 是特征为零的完全超对称代数封闭域，让 \(\mathcal{M}(\mathbb{K})\) 是所有 \(\mathbb{K}\) 中的非定常函数域。本文研究了一些差分方程和 \(q\)-difference 方程中的微函数解的增长。当这些方程中的系数为有理函数时，我们得到了一些关于微形态解增长的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

P-Adic Numbers Ultrametric Analysis and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.10

自引率

20.00%

发文量

期刊介绍： This is a new international interdisciplinary journal which contains original articles, short communications, and reviews on progress in various areas of pure and applied mathematics related with p-adic, adelic and ultrametric methods, including: mathematical physics, quantum theory, string theory, cosmology, nanoscience, life sciences; mathematical analysis, number theory, algebraic geometry, non-Archimedean and non-commutative geometry, theory of finite fields and rings, representation theory, functional analysis and graph theory; classical and quantum information, computer science, cryptography, image analysis, cognitive models, neural networks and bioinformatics; complex systems, dynamical systems, stochastic processes, hierarchy structures, modeling, control theory, economics and sociology; mesoscopic and nano systems, disordered and chaotic systems, spin glasses, macromolecules, molecular dynamics, biopolymers, genomics and biology; and other related fields.