%0 Journal Article
%T <i>q</i>-Abel-Zeilberger算法与<i>q</i>-超调和数恒等式<br><i>q</i>-Abel-Zeilberger Algorithm and <i>q</i>-Hyperharmonic Numbers Identities
%A 周梦肖
%J Pure Mathematics
%P 101-107
%@ 2160-7605
%D 2024
%I Hans Publishing
%R 10.12677/pm.2024.1410349
%X 本文将Abel引理与<i>q</i>-Zeilberger算法相结合来研究<i>q</i>-非超几何和式。对一类含有<i>q</i>-超调和数的相关和式&#65292;得到了一些新的<i>q</i>-模拟恒等式。<br>This article combines Abel&#8217;s lemma with <i>q</i>-Zeilberger algorithm to study q-non-hypergeometric sums. For a class of related sum of <i>q</i>-hyperharmonic numbers, some new q-analogous identities are obtained.
%K <i>q</i>-超调和数&#65292
%K <i>q</i>-Gosper算法&#65292
%K <i>q</i>-Zeilberger算法&#65292
%K Abel引理<br><i>q</i>-Hyperharmonic Numbers
%K <i>q</i>-Gosper Algorithm
%K <i>q</i>-Zeilberger Algorithm
%K Abel&#8217
%K s Lemma
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=97932