TITLE:
Identities on q-Harmonic Numbers
AUTHORS:
Mengxiao Zhou, Haitao Jin, Huanhuan Zheng
KEYWORDS:
Harmonic Numbers, q-Zeilberger Algorithm, Abel’s Lemma
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.5,
May
27,
2024
ABSTRACT: With the help of the classical Abel’s lemma on summation by parts and algorithm of q-hypergeometric summations, we deal with the summation, which can be written as multiplication of a q-hypergeometric term and q-harmonic numbers. This enables us to construct and prove identities on q-harmonic numbers. Several examples are also given.