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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a claim of Ramanujan about certain hypergeometric series
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by David Bradley PDF
Proc. Amer. Math. Soc. 121 (1994), 1145-1149 Request permission

Abstract:

We state and prove a claim of Ramanujan. As a consequence, a large new class of Saalschützian hypergeometric series is summed in closed form.
References
    Richard Askey and Mourad Ismail, A combinatorial sum, MRC Technical Summary Report #1557, July 1975, unpublished. W. N. Bailey, Generalized hypergeometric series, Cambridge Univ. Press, London, 1935.
  • Bruce C. Berndt, Ramanujan’s notebooks. Part II, Springer-Verlag, New York, 1989. MR 970033, DOI 10.1007/978-1-4612-4530-8
  • G. H. Hardy, A chapter from Ramanujan’s note-book, Proc. Cambridge Philos. Soc. 21 (1923), 492-503.
  • Srinivasa Ramanujan, Notebooks. Vols. 1, 2, Tata Institute of Fundamental Research, Bombay, 1957. MR 0099904
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 121 (1994), 1145-1149
  • MSC: Primary 33C20
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1189537-5
  • MathSciNet review: 1189537