摘要
利用形式幂级数方法证明了哑算子(Umbral operator)代数上的可迁公式(Transfer formula),并且证明了Sheffer序列的可迁公式与Lagrange展开定理是等价的.另外,作为这种代数方法与可迁公式的新应用,给出了2个组合矩阵反演的新证明.
By means of formal power series, two generalized transfer formulas of umbral operator were shown, which in turn asserted that the generalized transfer formulas for the She_er sequences are equivalent to the Lagrange expan- sion theorem. As two byproducts of new argument, the generalized transfer formulas were used to reproduce two combinational matrix inversions originally.
出处
《南通大学学报(自然科学版)》
CAS
2014年第1期71-75,共5页
Journal of Nantong University(Natural Science Edition)
基金
国家自然科学基金项目(11071183)