Construction of WZ pairs by the extended Zeilberger algorithm

Abstract We introduce a method for constructing WZ (Wilf-Zeilberger) pairs using the extended Zeilberger algorithm. With this approach, we are able to give eleven WZ pairs corresponding to the identity (H.1) due to Van Hamme. Furthermore, we describe a technique for generating q -analogues of these WZ pairs.

Authors

Institutions

Publication Details

Journal
Mathematica Slovaca
Published
2026-01-27
DOI
https://doi.org/10.1515/ms-2025-1166
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Construction of WZ pairs by the extended Zeilberger algorithm

Feng-Xin Ding, Yan-Ping Mu
Mathematica Slovaca
Finite Group Theory Research
article

Construction of WZ pairs by the extended Zeilberger algorithm

Feng-Xin Ding, Yan-Ping Mu
article en

Abstract

Abstract We introduce a method for constructing WZ (Wilf-Zeilberger) pairs using the extended Zeilberger algorithm. With this approach, we are able to give eleven WZ pairs corresponding to the identity (H.1) due to Van Hamme. Furthermore, we describe a technique for generating q -analogues of these WZ pairs.

Mathematica SlovacaVol. 76(1)
Tianjin University of Science and Technology (CN)
Openalex Percentile: Top 73%
Finite Group Theory Research
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Construction of WZ pairs by the extended Zeilberger algorithm — Feng-Xin Ding, Yan-Ping Mu · Mathematica Slovaca (2026) | TGRS Research Map | TGRS