两个求和公式的q-模拟的组合证明  

Combinatorial Proofs of q-analogues of two Summation Formular

作　　者：双叶[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2011年第6期633-636,共4页Journal of Inner Mongolia Minzu University：Natural Sciences

摘　　要：恒等式的q-模拟及组合证明对于组合数学的研究有非常重要的意义,赋予了恒等式一定的记数意义,而且使数学的各学科知识与组合数学有机地结合在一起,一直以来都受组合学家们的重视.本文介绍了一些与二项式系数恒等式的q-模拟有关的基本知识及子集—子空间模拟的一般方法,并给出两个求和公式的q-模拟的组合证明.It has a very important significance to study the q-analogue of identities and the proof of combination in combinatorial mathematics. The identities given count meaning, about the combination of combinatorial mathematics and other discipline,which have been subject to the attention of studier. In this article, some basic knowledge related to the q-analogue of binomial coefficient identities and general approach of subset-subspace Analogue are given. Meanwhile, combinatorial proofs of q-analogues of two summation formula are given.

关 键 词：二项式系数恒等式 布尔格 子空间格 Q-模拟 组合证明 

分 类 号：O157[理学—数学]