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Finding all hypergeometric solutions of linear differential equations

Published: 01 August 1993 Publication History
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References

[1]
ABRAMOV, S. A. Problems in computer algebra that are connected with a search for polynomial solutions of linear differential and difference equations. Moscow University Compul. Math. Cybernet., 3 (1989), 63-68. Transl. from Vestn. Moskov. univ. Set. XV Vychisl. mat. kibernet. 3, 56-60.
[2]
ERDI~LYI, A. Higher Transcendental Funcl~ons, second ed., vol. 1-2-3. R. E. Krieger publishing Company, Inc., Malabar, Florida, 1981.
[3]
GosPEtt, l~. W. Decision procedure for indefinite hypergeometric summation. Proceedings of the National Academy of Sczences USA 75, 1 (Jan. 1978), 40-42.
[4]
GRIGOR'EV, D. Y. Complexity of factoring and calculating the GCD of linear ordinary differential operators. Journal of Symbolic Computation 10 (1990), 7-37.
[5]
KOEPF, W. Power series in computer algebra. journal of Symbolic Computation 13 (1992), 581- 603.
[6]
PETKOVSEK, M. Hypergeometric solutions of linear recurrences with polynomial coefficients. Journal of Symbolic Computation 1~ (1992), 243-264.
[7]
A_ P., BP~YC,KOV, Y. A., AND MARICHEv,PRUDNIKOV'o__I. Integrals and Series Volume 3: More special funclzons. Gordon and Breach, 1989. 800 pages. First edition in Moscow, Nauka, 1986.
[8]
~ALVY, B., AND ZIMMERMANN, P. Gfun: a Maple package for the manipulation of generating and holonomic functions in one variable. Technical Report 143, Institut National de Recherche en Informatique et en Automatique, 1992. To appear in A CM Transactions on Mathematzcal Software.
[9]
SINGER, M. F. Formal solutions of differential equations. Journal of Symbolic Computation 10 (1990), 59-94.
[10]
STANLEY, R. P. Generating functions. In Studies in Combinatomcs, M.A.A. Studies in Mathematics, Vol. 17. (1978), G.-C. Rota, Ed., The Mathematical Association of America, pp. 100-141.
[11]
ZEILBERGER, D. A Maple program for proving hypergeometric identities. SIGSAM Bulletin 25, 3 (July 1991), 4-13.
[12]
ZEILBERGER, D. The method of creative telescoping. Journal of Symbolic Computation 11 (1991), 195-204.

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cover image ACM Conferences
ISSAC '93: Proceedings of the 1993 international symposium on Symbolic and algebraic computation
August 1993
321 pages
ISBN:0897916042
DOI:10.1145/164081
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Published: 01 August 1993

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