On Some Second Order Equations Associated with Painlevé Third and Fifth Equation

IF 1.2 3区数学 Q3 MATHEMATICS, APPLIED

Mathematical Physics, Analysis and Geometry Pub Date : 2026-06-15 DOI:10.1007/s11040-026-09568-w

Ewa Ciechanowicz

引用次数: 0

Abstract

We present results concerning value distribution of solutions of two second order equations with transcendental coefficients. The equations are related to Painlevé equations \(P_3\) and \(P_5\), but also interrelated with each other. We mainly focus on the existence of exceptional values, but consider other value distribution and growth properties of their solutions.

查看原文本刊更多论文

关于与painleve3、5方程相关的一些二阶方程

给出了两个二阶超越系数方程解的值分布的结果。方程与painlev方程\(P_3\)和\(P_5\)相关，但也相互关联。我们主要关注异常值的存在性，但考虑其解的其他值分布和增长性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Mathematical Physics, Analysis and Geometry 数学-物理：数学物理

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： MPAG is a peer-reviewed journal organized in sections. Each section is editorially independent and provides a high forum for research articles in the respective areas. The entire editorial board commits itself to combine the requirements of an accurate and fast refereeing process. The section on Probability and Statistical Physics focuses on probabilistic models and spatial stochastic processes arising in statistical physics. Examples include: interacting particle systems, non-equilibrium statistical mechanics, integrable probability, random graphs and percolation, critical phenomena and conformal theories. Applications of probability theory and statistical physics to other areas of mathematics, such as analysis (stochastic pde''s), random geometry, combinatorial aspects are also addressed. The section on Quantum Theory publishes research papers on developments in geometry, probability and analysis that are relevant to quantum theory. Topics that are covered in this section include: classical and algebraic quantum field theories, deformation and geometric quantisation, index theory, Lie algebras and Hopf algebras, non-commutative geometry, spectral theory for quantum systems, disordered quantum systems (Anderson localization, quantum diffusion), many-body quantum physics with applications to condensed matter theory, partial differential equations emerging from quantum theory, quantum lattice systems, topological phases of matter, equilibrium and non-equilibrium quantum statistical mechanics, multiscale analysis, rigorous renormalisation group.