Simultaneous Generation for Zeta Values by the Markov-WZ Method

نویسندگان

  • Khodabakhsh Hessami Pilehrood
  • Tatiana Hessami Pilehrood
چکیده

By application of the Markov-WZ method, we prove a more general form of a bivariate generating function identity containing, as particular cases, Koecher’s and Almkvist-Granville’s Apéry-like formulae for odd zeta values. As a consequence, we get a new identity producing Apéry-like series for all ζ(2n+ 4m+ 3), n,m ≥ 0, convergent at the geometric rate with ratio 2−10.

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عنوان ژورنال:
  • Discrete Mathematics & Theoretical Computer Science

دوره 10  شماره 

صفحات  -

تاریخ انتشار 2008