Some summation formulas for the series $_ 3F_ 2(1)$
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- by J.-L. Lavoie PDF
- Math. Comp. 49 (1987), 269-274 Request permission
Abstract:
Summation formulas, contiguous to Watson’s and Whipple’s theorems in the theory of the generalized hypergeometric series, are obtained. Certain limiting cases of these results are given.References
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W. N. Bailey, Generalized Hypergeometric Series, Cambridge Univ. Press, Cambridge, 1935.
G. H. Hardy, "A chapter from Ramanujan’s note-book," Proc. Cambridge Philos. Soc., v. 21, 1923, pp. 492-503.
E. E. Kummer, "Über die hypergeometrische Reihe $F(a;b;x)$," J. Reine Angew. Math., v. 15, 1836, pp. 127-172.
- J.-L. Lavoie, Some evaluations for the generalized hypergeometric series, Math. Comp. 46 (1986), no. 173, 215–218. MR 815842, DOI 10.1090/S0025-5718-1986-0815842-9
- 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 1987 American Mathematical Society
- Journal: Math. Comp. 49 (1987), 269-274
- MSC: Primary 33A30; Secondary 33A15
- DOI: https://doi.org/10.1090/S0025-5718-1987-0890268-1
- MathSciNet review: 890268