论文标题
符号整合中的稳定性问题
Stability Problems in Symbolic Integration
论文作者
论文摘要
本文旨在通过研究差异领域的稳定性问题来初始化符号整合的动态方面。我们介绍了稳定基本功能和D-Finite功率系列的一些基本属性，使我们能够表征涉及理性函数，对数函数和指数函数的三个特殊基本功能的特殊系列。未来研究的一些问题提出了差异和差异代数方面的更深入的动力学研究。
This paper aims to initialize a dynamical aspect of symbolic integration by studying stability problems in differential fields. We present some basic properties of stable elementary functions and D-finite power series that enable us to characterize three special families of stable elementary functions involving rational functions, logarithmic functions, and exponential functions. Some problems for future studies are proposed towards deeper dynamical studies in differential and difference algebra.
