Q-harmonic Number Combinatorial Identities And Applications

q-series and combinatorial identities are important research objects in special function and combinatorics.Harmonic number is a kind of important combina-tion,and has important application in number theory?combinatorics and special function.In this paper,we first proposes two kinds of rational functions decomposi-tion with partial fraction decomposition method,then use analysis and combination method,we research the alternating summation formula with q-harmonic number as follows:then we obtained the corresponding q-harmonic number identities.Apply these identities we get some interesting q-harmonic number identities.