DeepAI AI Chat

Stability Problems in Symbolic Integration

02/13/2022

∙

by Shaoshi Chen, et al.

∙

amss.ac.cn

∙

∙

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.

page 1

page 2

page 3

page 4

∙ 12/05/2017

Symbolic-Numeric Integration of Rational Functions

We consider the problem of symbolic-numeric integration of symbolic func...

0 Robert M. Corless, et al. ∙

∙ 02/07/2021

Separability Problems in Creative Telescoping

For given multivariate functions specified by algebraic, differential or...

0 Shaoshi Chen, et al. ∙

∙ 06/27/2023

Generating Elementary Integrable Expressions

There has been an increasing number of applications of machine learning ...

0 Rashid Barket, et al. ∙

∙ 06/24/2022

Elementary analytic functions in VTC^0

It is known that rational approximations of elementary analytic function...

0 Emil Jeřábek, et al. ∙

∙ 04/10/2020

A Simple Method for Computing Some Pseudo-Elliptic Integrals in Terms of Elementary Functions

We introduce a method for computing some pseudo-elliptic integrals in te...

0 Sam Blake, et al. ∙

∙ 07/31/2018

A simple analysis of flying capacitor converter

The paper aims to emphasise how switched systems can be analysed with el...

0 S. Kadyrov, et al. ∙

∙ 07/07/2017

Measured Multiseries and Integration

A paper by Bruno Salvy and the author introduced measured multiseries an...

0 John Shackell, et al. ∙