Sheehan组合恒等式的多种推广

１９７０年ＳｈｅｅｈａｎＪ．获得的一个组合恒等式，本文给出四种推广，其中有两种推广为笔者１９５５和１９９１年的结果，过去没有发现它们之间一般与特殊的关系，还有两种推广为笔者最新的结果，这两个新的结果之间也存在着一般与特殊的关系，由此可知，这些组合恒等式之间存在着有趣的关系，特别是从发表的时间上来看，笔者１９５５年结果的特例就是１９７０年ｓｈｅｅｈａｎ结果。

A Few Corollaries of Shcehan Combinatorial Identity

In 1970, Sheehan J. had got a combinatorial identity. As corollaries we have ob-tained four forms of this identity. Among these forms, two of them are the results obtainedby us in 1955 and 1991, the others are our new results. We want to show the general and spe-cial relations among these corollaries in this paper. The relations among these corollaries are quite interesting. It is shown that Sheehan'sresult in 1970 is just the special example of ours in 1955.