A q-analog of a general rational sum identity

被引：7
|
作者：
Mansour, Toufik [1 ]
Shattuck, Mark [1 ]
Song, Chunwei [2 ]
机构：
[1] Univ Haifa, Dept Math, IL-31905 Haifa, Israel
[2] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China
来源：
AFRIKA MATEMATIKA | 2013年 / 24卷 / 03期
关键词：
q-identity; Partial fractions; q-inversion; Combinatorial proof;
D O I：
10.1007/s13370-011-0061-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we provide a q-analog for a type of identity involving rational sums shown by Prodinger (Appl Anal Discrete Math 2(1):65-68, 2008). Our proof is algebraic and makes use of q-partial fractions and q-inverse pairs. A bijective proof involving a sign-changing involution is given for one of the main results.
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页码：297 / 303
页数：7
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