Identities of nonterminating series by Zeilberger's algorithm

Journal of Computational and Applied Mathematics

Volumn 99, Issue 1-2, 1998, Pages 449-461

  Koornwinder, Tom H ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Asymptotics; Computer algebra; Nonterminating hypergeometric series; Saalsch tz' summation formula; Zeiberger's algorithm

Indexed keywords

ALGEBRA; COMPUTATION THEORY; ESTIMATION; THEOREM PROVING;

NONTERMINATING HYPERGEOMETRIC SERIES; SAALSCHUTZ SUMMATION FORMULA; ZEIBERGER ALGORITHM;

ALGORITHMS;

EID: 0032207987     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00176-9     Document Type: Article

References (8)

1. A. Erdélyi et al., Higher Transcendental Functions, vol. I, McGraw-Hill, 1953 (reprinted in 1981 by R.E. Krieger).
2. G. Gasper, M. Rahman, Basic Hypergeometric Series, Cambridge University Press, Cambridge, 1990.
3. I.M. Gessel, Finding identities with the WZ method, J. Symbolic Comput. 20 (1995) 537-566.
4. W. Koepf, Maple package hsum.mpl, Version 1.0, February 1, 1998; obtainable by email from koepf@imn.htwk-leipzig.de.
5. T.H. Koornwinder, Jacobi functions as limit cases of q-ultraspherical polynomials, J. Math. Anal. Appl. 148 (1990) 44-54.
6. F.W.J. Olver, Asymptotics and Special Functions, Academic Press, New York, 1974 (reprinted in 1997 by A.K. Peters).
7. M. Petkovšek, H.S. Wilf, D. Zeilberger, A=B, A.K. Peters, Wellesley, MA, 1996.
8. ∼zeilberg.