The q-WZ pairs and divisibility properties of certain polynomials

Using the $ q $-WZ (Wilf-Zeilberger) pairs we give divisibility properties of certain polynomials. These results may deemed generalizations of some $ q $-congruences obtained by Guo earlier, or $ q $-analogues of some congruences of Sun. For example, we prove that, for $ n\geqslant 1 $ and $ 0\leqsl...

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Bibliographic Details
Main Author: Su-Dan Wang
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022227?viewType=HTML