一类广义的Fibonacci矩阵与Riordan矩阵

摘要

给出一类广义Fibonacci矩阵形式,构造出一个Riordan阵,得到此类广义Fibonacci矩阵分解；并利用三对角行列式的理论和Riordan矩阵理论,证明了一些有关Fibonacci数的恒等式.%A generalized Fibonacci matrix form is given. The factorization of the generalized Fibonacci matrix is derived by constructing a Riordan array. However, by using the triangular determinants theory and the Riordan method, some identities involving Fibonacci numbers are proved.