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NEW REPRESENTATIONS FOR APÉRY-LIKE SEQUENCES

  • Heng Huat Chan (a1) (a2) and Wadim Zudilin (a3)
Abstract
Abstract

We prove algebraic transformations for the generating series of three Apéry-like sequences. As application, we provide new binomial representations for the sequences. We also illustrate a method that derives three new series for 1/π from a classical Ramanujan’s series.

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[13] W. Zudilin , Ramanujan-type formulae for 1/π: a second wind? In Modular Forms and String Duality (Banff, June 2006) (Fields Inst. Commun. 54) (ed. N. Yui), American Mathematical Society (Providence, RI, 2008), 179188.

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Mathematika
  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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