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Articles

WZ pairs and q-analogues of Ramanujan series for 1/π

Pages 1871-1879 | Received 14 Apr 2018, Accepted 09 Nov 2018, Published online: 27 Nov 2018

References

  • T. Amdeberhan and D. Zeilberger, Hypergeometric acceleration via the WZ-method, Electron. J. Combin. 4 (1997), R3, 4 pages.
  • J. Guillera, Generators of some Ramanujan formulas, Ramanujan J. 11 (2006), pp. 41–48. doi: 10.1007/s11139-006-5306-y
  • J. Guillera, Series de Ramanujan: Generalizaciones y conjeturas, Ph.D. diss., Universidad de Zaragoza, Spain, 2007.
  • V. Guo and J.C. Liu, q-analogues of two Ramanujan-type formulas for 1/π, J. Differ. Equ. Appl. 24 (2018), pp. 1368–1373. doi: 10.1080/10236198.2018.1485669
  • V. Guo and W. Zudilin, A q-microscope for supercongruences. Preprint available at https://arxiv.org/abs/1803.01830.
  • V. Guo and W. Zudilin Ramanujan-type formulas for 1/π: q-analogues, Integr. Tranforms Spec. Funct. 29 (2018), pp. 505–513. doi: 10.1080/10652469.2018.1454448
  • D. Zeilberger, Closed form (pun intended!), Contemp. Math. 143 (1993), pp. 579–608. doi: 10.1090/conm/143/01023
  • W. Zudilin, Ramanujan-type supercongruences, J. Number Theory 129 (2009), pp. 1848–1857. doi: 10.1016/j.jnt.2009.01.013

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