Article citationsMore>>

Wei, C.A. and Gu, Q.P. (2010) q-Generalizations of a Family of Harmonic Number Identities. Advances in Applied Mathematics, 45, 24-27.
https://doi.org/10.1016/j.aam.2009.11.007

has been cited by the following article:

• 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.