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Mathematics of Computation

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

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Analytical formulae for extended $_3F_2$-series of Watson鈥揥hipple鈥揇ixon with two extra integer parameters
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by Wenchang Chu PDF
Math. Comp. 81 (2012), 467-479 Request permission

Abstract:

By combining the linearization method with Dougall鈥檚 sum for well鈥損oised $_5F_4$-series, we investigate the generalized Watson series with two extra integer parameters. Four analytical formulae are established, which can also be used to evaluate the extended Whipple and Dixon series via the Thomae transformation. Twelve concrete formulae are presented as exemplification.
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Additional Information
  • Wenchang Chu
  • Affiliation: Hangzhou Normal University, Institute of Combinatorial Mathematics, Hangzhou 310036, People鈥檚 Republic of China
  • Address at time of publication: Dipartimento di Matematica, Universit脿 del Salento, Lecce鈥揂rnesano, P.O. Box 193, Lecce 73100, Italy
  • MR Author ID: 213991
  • Email: chu.wenchang@unisalento.it
  • Received by editor(s): October 8, 2010
  • Received by editor(s) in revised form: November 30, 2010, and December 24, 2010
  • Published electronically: June 30, 2011
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Math. Comp. 81 (2012), 467-479
  • MSC (2010): Primary 33C20; Secondary 05A10
  • DOI: https://doi.org/10.1090/S0025-5718-2011-02512-3
  • MathSciNet review: 2833504