2022/02/13 by Shaoshi Chen, Chen, Shaoshi
Computer Science · #12H05 #33F10 #37P15 #Commutative Algebra (math.AC) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #I.1.2 #Numerical Methods and Algorithms #Polynomial and algebraic computation #Symbolic Computation (cs.SC)
paper · pdf · doi:10.48550/arxiv.2202.06305
openalex publication_date 2022/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.