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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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Some evaluations for the generalized hypergeometric series
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by J.-L. Lavoie PDF
Math. Comp. 46 (1986), 215-218 Request permission

Abstract:

Whipple’s theorem on the sum of a $_3{F_2}(1)$ plays a key role in obtaining a family of summation formulas for the generalized hypergeometric series of unit argument.
References
    W. N. Bailey, Generalized Hypergeometric Series, Cambridge Univ. Press, Cambridge, 1935.
  • Yudell L. Luke, Mathematical functions and their approximations, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. MR 0501762
  • Earl D. Rainville, Special functions, The Macmillan Company, New York, 1960. MR 0107725
  • G. N. Watson, "The integral formula for generalized Legendre functions," Proc. London Math. Soc. (2), v. 17, 1917, pp. 241-246.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Math. Comp. 46 (1986), 215-218
  • MSC: Primary 33A35; Secondary 65D20
  • DOI: https://doi.org/10.1090/S0025-5718-1986-0815842-9
  • MathSciNet review: 815842