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Mathematics of Computation

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Some evaluations for the generalized hypergeometric series

Author: J.-L. Lavoie
Journal: Math. Comp. 46 (1986), 215-218
MSC: Primary 33A35; Secondary 65D20
MathSciNet review: 815842
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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 [Enhancements On Off] (What's this?)

    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 Co., 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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Keywords: Generalized hypergeometric function, gamma function, psi function, poly-gamma function
Article copyright: © Copyright 1986 American Mathematical Society