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Identities on q-Harmonic Numbers

Identities on q-Harmonic Numbers
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摘要 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. 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.
作者 Mengxiao Zhou Haitao Jin Huanhuan Zheng Mengxiao Zhou;Haitao Jin;Huanhuan Zheng(School of Science, Tianjin University of Technology and Education, Tianjin, China)
机构地区 School of Science
出处 《Journal of Applied Mathematics and Physics》 2024年第5期1796-1803,共8页 应用数学与应用物理(英文)
关键词 Harmonic Numbers q-Zeilberger Algorithm Abel’s Lemma Harmonic Numbers q-Zeilberger Algorithm Abel’s Lemma
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