广义Stirling数与广义Bell多项式

On Generalization of the Stirling and Bell Polynomial

用代数的方法研究了一般形式boson序列(a+)rnasn…(a+)r1as1规范序问题中的广义Stirling数Sr,s(k)和广义Bell多项式,给出了Sr,s(k)在代数上的解释,并得到了广义Bell多项式的递推关系.

We study the generalized Stirling numbers St,, （k） and generalized Bell polynomial which arise in the solution of the normal ordering problem for a general form of boson string （a^＋）^rn a^an…（a^＋）^r1 a^s1 in algebric method. An algebric explaination of Sr,s （k） is given , A recursion formula about generalized Bell polynomial is obtained.