组合恒等式的几种证法及应用  

On Some Proving Methods for Combinatorial Identities and Their Applications

作　　者：李士荣[1] 

机构地区：[1]重庆师范大学数学与计算机科学学院,重庆400047

出　　处：《重庆工学院学报》2007年第9期71-72,94,共3页Journal of Chongqing Institute of Technology

基　　金：重庆市教委科研基金资助项目(KJ050807)

摘　　要：组合恒等式在组合数学中占有重要的地位,它有多种证法,运用集合论的观点,求导法则和概率方法对几个重要的组合等式给出了直观简洁的证明.Combinatorial identity plays a very important role in combinatorial mathematics, which can be proved with many methods. This paper uses the set theory, derivation principles and probability method to give a direct and simple solution to several important combinatorial identities.

关 键 词：组合恒等式 求导 集合论 概率方法 

分 类 号：O157.5[理学—数学]