Some extensions of Chu's formulas and further combinatorial identities

Abstract

We present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.

Keywords

• partial fraction decomposition
• polynomial
• combinatorial identity
• harmonic number
• generalized harmonic number
• complete bell polynomial