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
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Richard Askey and Mourad Ismail, A combinatorial sum, MRC Technical Summary Report #1557, July 1975, unpublished.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
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