Some generalized q-harmonic number identities

Abstract

By means of the partial fraction decomposition method, we establish some summations of generalized q-harmonic numbers with finite series. We further explore series of generalized q-harmonic number identities as examples and list the relationship with generalized harmonic number identities.

Keywords:

• generalized q-harmonic number
• partial fraction decomposition method
• summation identities

2000 AMS Subject Classification:

• Primary: 05A19
• Secondary: 40A25

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by National Natural Science Foundations of China [11201291 and 11471209]; Natural Science Foundation of Shanghai [12ZR1443800].