Identities And Asymptotic About Some Combinatorial Sequences

In this paper using the methods of generating functions and Ri-ordan arrays gives some new combinatorial identities,and discusses the asymptotic about some special combinatorial sums by means of asymp-totic enumeration methods.The contents can be summarized as follows:Chapter 2:This chapter using the methods of Riordan arrays and generating functions discusses some character about the general-ized Genocchi numbers G(x)/n, and gives some combinatorial identities containing the generalized Genocchi numbers.Then we obtain asymp-totic value of some sums containing G(x)/n by means of Darboux's method and Laplace's method.Chapter 3:In first,this chapter introduces the conception of spe-cial combinatorial numbers P(r,n,k), then using the methods of Ri-ordan arrays and generating functions discusses some character about combinatorial numbers P(r, n, k), and obtains some combinatorial iden-tities about P(r, n, k).At length,we discuss the asymptotic of some sums containing P(r, n, k) by means of Singularity analysis method and Dar-boux's method and Laplace's method.