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A generalization of a Brafman-Bailey type identity


Authors: Heng Huat Chan and Yoshio Tanigawa
Journal: Proc. Amer. Math. Soc. 143 (2015), 185-195
MSC (2010): Primary 33C45, 11B37; Secondary 33C05, 33C20
DOI: https://doi.org/10.1090/S0002-9939-2014-12195-2
Published electronically: August 28, 2014
MathSciNet review: 3272743
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Abstract: Recently, J. Wan and W. Zudilin discovered a generalization of an identity discovered by F. Brafman around 1951. In this article, we give a generalization of the identities of Brafman, Wan and Zudilin.


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Additional Information

Heng Huat Chan
Affiliation: Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong – and – Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, Singapore 119076
Email: matchh@nus.edu.sg

Yoshio Tanigawa
Affiliation: Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan
Email: tanigawa@math.nagoya-u.ac.jp

DOI: https://doi.org/10.1090/S0002-9939-2014-12195-2
Keywords: Brafman's generating function, Clausen's identities, hypergeometric series
Received by editor(s): March 6, 2013
Published electronically: August 28, 2014
Additional Notes: The second author was supported by Grant-in-Aid for Scientific Research No. 24540015
Communicated by: Ken Ono
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.