On the Existence of Telescopers for P-recursive Sequences

Lixin Du

doi:10.1016/j.jsc.2025.102423

On the Existence of Telescopers for P-recursive Sequences

Lixin Du^*

^*Corresponding author for this work

Institute for Algebra

Research output: Contribution to journal › Article › peer-review

Abstract

We extend the criterion on the existence of telescopers for hypergeometric terms to the case of P-recursive sequences. This criterion is based on the concept of integral bases and the generalized Abramov-Petkovšek reduction for P-recursive sequences.

Original language	English
Article number	102423
Number of pages	21
Journal	Journal of Symbolic Computation
Volume	130
DOIs	https://doi.org/10.1016/j.jsc.2025.102423
Publication status	Published - 01 Sept 2025

Fields of science

101005 Computer algebra

JKU Focus areas

Digital Transformation

Access to Document

10.1016/j.jsc.2025.102423

Cite this

@article{262363b1fdab4d049f123b95a31d7918,

title = "On the Existence of Telescopers for P-recursive Sequences",

abstract = "We extend the criterion on the existence of telescopers for hypergeometric terms to the case of P-recursive sequences. This criterion is based on the concept of integral bases and the generalized Abramov-Petkov{\v s}ek reduction for P-recursive sequences.",

author = "Lixin Du",

year = "2025",

month = sep,

day = "1",

doi = "10.1016/j.jsc.2025.102423",

language = "English",

volume = "130",

journal = "Journal of Symbolic Computation",

issn = "0747-7171",

publisher = "Elsevier BV",

}

TY - JOUR

T1 - On the Existence of Telescopers for P-recursive Sequences

AU - Du, Lixin

PY - 2025/9/1

Y1 - 2025/9/1

N2 - We extend the criterion on the existence of telescopers for hypergeometric terms to the case of P-recursive sequences. This criterion is based on the concept of integral bases and the generalized Abramov-Petkovšek reduction for P-recursive sequences.

AB - We extend the criterion on the existence of telescopers for hypergeometric terms to the case of P-recursive sequences. This criterion is based on the concept of integral bases and the generalized Abramov-Petkovšek reduction for P-recursive sequences.

UR - https://www.scopus.com/pages/publications/85216357177

U2 - 10.1016/j.jsc.2025.102423

DO - 10.1016/j.jsc.2025.102423

M3 - Article

SN - 0747-7171

VL - 130

JO - Journal of Symbolic Computation

JF - Journal of Symbolic Computation

M1 - 102423

ER -

On the Existence of Telescopers for P-recursive Sequences

Abstract

Fields of science

JKU Focus areas

Access to Document

Other files and links

Cite this