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Proof of a conjecture due to Chu on Gosper-type sums

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Publication:6590671
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DOI10.1007/S00010-023-00986-7zbMATH Open1546.05009MaRDI QIDQ6590671

Paul Levrie, John Maxwell Campbell

Publication date: 21 August 2024

Published in: Aequationes Mathematicae (Search for Journal in Brave)




zbMATH Keywords

hypergeometric seriesclosed formGosper sum


Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Generalized hypergeometric series, ({}_pF_q) (33C20)


Cites Work

  • Title not available (Why is that?)
  • Title not available (Why is that?)
  • On the series \(\sum_{k=1}^\infty \binom {3k}{k}^{-1} k^{-n}x^k\)
  • Evaluations of binomial series
  • An Explicit Evaluation of the Gosper Sum
  • On certain series involving reciprocals of binomial coefficients
  • Classification of hypergeometric identities for π and other logarithms of algebraic numbers
  • Gosper–type sums with reciprocals of binomial coefficients of the form (3n+ϵn)


Related Items (1)

New evaluations of inverse binomial series via cyclotomic multiple zeta values






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