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
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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.
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