Contiguous relations of hypergeometric series

Journal of Computational and Applied Mathematics

Volumn 153, Issue 1-2, 2003, Pages 507-519

  Vidunas, Raimundas ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Contiguous relations; Hypergeometric function

Indexed keywords

COMPUTATIONAL GEOMETRY; FUNCTIONS; INTEGER PROGRAMMING;

HYPERGEOMETRIC SERIES;

COMPUTATIONAL METHODS;

MATHEMATICAL ANALYSIS;

EID: 0037380158     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00643-X     Document Type: Article

References (8)

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3. D.E. Knuth, The Art of Computer Programming, Vol. II, Seminumerical Algorithms, Addison-Wesley, Reading, MA, 1971.
4. P. Paule, Contiguous relations and creative telescoping, Technical Report, RISC, Austria, 2001.
5. M. Petkovšek, H.S. Wilf, D. Zeilberger, A = B, Wellesley, MA, 1996.
6. E.D. Rainville, Special Functions, The MacMillan Company, New York, 1960.
7. R. Vidunas, A generalization of Kummer's identity. in: Proceedings of the NATO Conference "Special Functions 2000: Current Perspective and Future Directions", Arizona State University, Tempe, AZ, VS, May 29-June 9, 2000, Rocky Mount. J. Math. 32 (2) (2002) 919-936; also available at http://arXiv.org/abs/math.CA/0005095
8. R. Vidunas, T.H. Koornwinder, Web-page of the NWO project Algorithmic methods for special functions by computer algebra, http://www.science.uva.nl/~thk/specfun/compalg.htm.l