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Note on the Bradley and Ramanujan summation

Author: Chu Wenchang
Journal: Proc. Amer. Math. Soc. 124 (1996), 3753-3754
MSC (1991): Primary 33A30; Secondary 05A19
MathSciNet review: 1343730
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Abstract: The hypergeometric series of Bradley and Ramanujan is evaluated by means of the binomial convolutions of Hagen and Rothe, which presents, alternatively, a short proof of the recent result of Bradley about Ramanujan's enigmatic claim.

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Chu Wenchang
Affiliation: Istituto di Matematica, “Guido Castelnuovo”, Universit\a‘a degli Studi di Roma “La Sapienza”, Roma, Italia

Keywords: Binomial convolution, Hypergeometric series, The Gauss summation theorem
Received by editor(s): January 3, 1995
Received by editor(s) in revised form: May 23, 1995
Additional Notes: The author was partially supported by IAMI (CNR, Milano), 1994
Communicated by: J. Marshall Ash
Article copyright: © Copyright 1996 American Mathematical Society