The Investigation For The Family Of A Binomial Combinatorial Identity

In this paper, by means of partial fraction theorem, we investigate the decom-position of rational functions where m, n, β,γ, r ∈ N0 and 0≤ m≤n, α∈N,θ∈R. form this that we get a class of binomial combinatorial identities, we not only get some new algebraic identities and binomial combinatorial identities, but also generalize the identities in Chu Mortenson, Peterson, Prodinger, Larcomde and so on.