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Transformation on Infinite Double Series and Applications to Harmonic Number Identities

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Abstract.

A general transformation formula between an infinite double series and an infinite single sum is established, which specializes to several infinite double series identities, including a recent one due to Lyons, Paule and Riese (2002).

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Authors and Affiliations

  1. Dipartimento di Matematica, Università Degli Studi di Lecce, Lecce-Arnesano, P.O.Box 193, 73100, Lecce, Italia

    Chu Wenchang & De Donno Livia

Authors
  1. Chu Wenchang
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  2. De Donno Livia
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Correspondence to Chu Wenchang.

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Wenchang, C., Livia, D. Transformation on Infinite Double Series and Applications to Harmonic Number Identities. AAECC 15, 339–348 (2005). https://doi.org/10.1007/s00200-004-0165-5

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  • DOI: https://doi.org/10.1007/s00200-004-0165-5

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