The closed forms of two kinds of generating functions for the Pascal-type triangle are derived.A certain of properties like the Pascal triangle are found.Explicit expression of any element and closed forms of several ...The closed forms of two kinds of generating functions for the Pascal-type triangle are derived.A certain of properties like the Pascal triangle are found.Explicit expression of any element and closed forms of several kinds of sums are given.A number of combinatorial identities associated with the triangle are constructed.展开更多
文摘The closed forms of two kinds of generating functions for the Pascal-type triangle are derived.A certain of properties like the Pascal triangle are found.Explicit expression of any element and closed forms of several kinds of sums are given.A number of combinatorial identities associated with the triangle are constructed.
基金国家重点基础研究发展规划(973)(the National Grand Fundamental Research 973 Program of China under Grant No.2004CCA02500)国家自然科学基金(the National Natural Science Foundation of China under Grant No.60572015)湖北省教育厅优秀中青年人才项目(No.Q200726003)。
