arXiv Open Access 2021

Separability Problems in Creative Telescoping

Shaoshi Chen Ruyong Feng Pingchuan Ma Michael F. Singer
Lihat Sumber

Abstrak

For given multivariate functions specified by algebraic, differential or difference equations, the separability problem is to decide whether they satisfy linear differential or difference equations in one variable. In this paper, we will explain how separability problems arise naturally in creative telescoping and present some criteria for testing the separability for several classes of special functions, including rational functions, hyperexponential functions, hypergeometric terms, and algebraic functions.

Topik & Kata Kunci

Penulis (4)

S

Shaoshi Chen

R

Ruyong Feng

P

Pingchuan Ma

M

Michael F. Singer

Format Sitasi

Chen, S., Feng, R., Ma, P., Singer, M.F. (2021). Separability Problems in Creative Telescoping. https://arxiv.org/abs/2102.03693

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2021
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓