摘要
基于经典的Motzkin路引入了一类新的加权Motzkin路的定义,用这种路给出了一类指数型Riordan矩阵的组合解释,得到了相应的Riordan矩阵第0列元素(加权Motzkin序列)的加法公式.作为应用,得到了一类加权Motzkin序列的Hankel行列式的计算方法.
Based on the classical Motzkin paths, a new family of weighted Motzkin paths is introduced. By means of those paths, the combinatorial interpretation of some Exponential Riordan arrays are given. Meanwhile, the addition formula of the 0 column elements of Riordan arrays, i.e., weighted Motzkin sequences, is obtained. As an application, the evaluation of Hankel determinants of some weighted Motzkin sequences are also obtained.
作者
李彦君
杨胜良
Li Yanjun Yang Shengliang(School of Science, Lanzhou University of Technology, Lanzhou 730050, Chin)
出处
《纯粹数学与应用数学》
2017年第1期26-36,共11页
Pure and Applied Mathematics
基金
国家自然科学基金(11561044)
