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Dougall–Dixon formula and harmonic number identities

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Abstract

The Dougall–Dixon summation formula is reformulated in terms of binomial sums. By computing their second derivatives, we establish several harmonic number identities.

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Author notes

  1. Wenchang Chu

    Present address: Dipartimento di Matematica, Università degli Studi di Lecce, Lecce-Arnesano, P.O. Box 193, 73100, Lecce, Italy

Authors and Affiliations

  1. Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Wenchang Chu

  2. Center for Combinatorics, LPMC, Nankai University, Tianjin, 300071, People’s Republic of China

    Amy M. Fu

Authors
  1. Wenchang Chu
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  2. Amy M. Fu
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Correspondence to Wenchang Chu.

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Chu, W., Fu, A.M. Dougall–Dixon formula and harmonic number identities. Ramanujan J 18, 11–31 (2009). https://doi.org/10.1007/s11139-007-9044-6

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  • DOI: https://doi.org/10.1007/s11139-007-9044-6

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