Riordan Array Method To Combinatorial Identities

Using Riordan Matrix to study the combinatorial identities, Aim is to find and certify combinatorial identities, the main contents of this paper is as follows:The paper Introduced combinatorial identities and their research methods Riordan Matrix and its research also this thesis used the concepts, the fundamental theorems and lemmas.Riordan Matrix in proving combinatorial identities and find a new application areas. Spreading and with Riordan arrays derived from the famous Gould combinatorial identities。And to promote this approach to get two theorems also can be launched the combination of many familiar identities from another angle, for example etcThe link between Euler Matrix which is comprised Euler numbers a(i,j) and Riordan Matrix, besides derivation row summation and empowered row summation and other formulas to obtain the generating function of sequence{ki-1}k≥0,i≥1 And describes the application of the function.