Pfaff's method (III): Comparison with the WZ method

Electronic Journal of Combinatorics

Volumn 3, Issue 2 R, 1996, Pages 1-18

  Andrews, George E ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13744249989     PISSN: 10778926     EISSN: 10778926     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. G. E. Andrews, Pfaff's method I: the Mills-Robbing-Rumsey determinant, Discrete Math, (to appear).
2. G. E. Andrews, Pfaff's method II: diverse applications, J. of Computational and Appl. Math., (to appear).
3. G. E. Andrews and W. H. Burge, Determinant identities, Pac. J. Math., 158 (1993), 1-14.
4. G. E. Andrews and D. Stanton, Determinants in plane partitions enumeration, (to appear).
5. W. N. Bailey, Some identities involving generalized hypergeometric series, Proc. London Math. Soc., Ser. 2, 29 (1929), 503-516.
6. W. N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, London and New York, 1935. [Reprinted: Hafner, New York, 1964].
7. S. B. Ekhad and D. Zeilberger, A 21st century proof of Dougall's hypergeometric sum identity, J. Math. Analysis and Appl., 147 (1990), 610-611.
8. I. Gessel and D. Stanton, Strange evaluations of hypergeometric series, SIAM J. Math. Anal., 13 (1982), 295-308.
9. T. H. Koornwinder, On Zeilberger's algorithm and its q-analogue, J. Comp. and Appl. Math., 48 (1993), 91-111.
10. A. Lakin, A hypergeometric identity related to Dougall's theorem, J. London Math. Soc., 27 (1952), 229-234.
11. J. F. Pfaff, Observationes analyticae ad L. Euler Institutiones Calculi Integralis, Vol. IV, Supplem. II et IV, Historia de 1793, Nova Acta Acad. Sci Petropolitanae 11 (1797), 38-57.
12. F. J. W. Whipple, On well-poised series, generalized hypergeometric series having parameters in pairs, each pair with the same sum, Proc. London Math. Soc. (2), 24 (1926), 247-263.
13. H. S. Wilf and D. Zeilberger, Rational functions certify combinatorial identities, J. Amer. Math. Soc., 3 (1990), 147-158.
14. D. Zeilberger, A fast algorithm for proving terminating hypergeometric identities, Discr. Math., 80 (1990), 207-211.
15. D. Zeilberger, The method of creative telescoping, J. Symbolic Computation, 11 (1991), 195-204.
16. D. Zeilberger, Identities in search of identity, J. The. Comp. Sci. 117 (1993), 23-38.
17. D. Zeilberger, Theorems for a price: tomorrow's semi-rigorous mathematical culture, Notices of the Amer. Math. Soc., 40 (1993), 978-981.