纯粹与非纯粹二阶F-L恒等式的统一推广

摘要

本文提出了一类新的二阶F-L恒等式,它包括纯粹二阶F-L恒等式与非纯粹二阶F-L恒等式作为其特例,应用我们的方法,即TCI方法和相关序列的方法,建立了一系列意义广泛的恒等式,包括关于下标和差和恒等式,用行列式表示的恒等式,多倍下标的恒等式以及乘积展开恒等式等.%A new class of second order F- L identities which include both of pure and impure identities as special cases was presented. By using our methods, the TCI method and the related sequencemethod, the identities for the summation and the difference of arguments, the identities represented by determinants, the multiple argument formulas, and expansion formulas of products were established.