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Hermite.bib
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@misc{OurSoft,
key = {zzz},
year = {2010},
howpublished = { url{http://algo.inria.fr/chen/BivRatCT/}}
}
% Cheat to fit on two lines.
% JOURNAL = {J. Symbolic Comput.},
% NUMBER = {6},
@article {Almkvist1990,
AUTHOR = {Almkvist, Gert and Zeilberger, Doron},
TITLE = {The method of differentiating under the integral sign},
JOURNAL = {J. Symbolic Comput.},
FJOURNAL = {Journal of Symbolic Computation},
VOLUME = {10},
YEAR = {1990},
PAGES = {571--591},
ISSN = {0747-7171},
MRCLASS = {26-04 (26A99 33-04 68Q40)},
MRNUMBER = {MR1087980 (92d:26003)},
MRREVIEWER = {Pavel S. Pankov},
}
@book {Abel1881,
AUTHOR = {Abel, Niels Henrik},
TITLE = {{\OE}uvres {C}ompl\`etes de {N}iels {H}enrik {A}bel. {T}ome
{II}},
NOTE = {Contenant les m{\'e}moirs posthumes d'Abel. [Containing the
posthumous memoirs of Abel],
Edited and with notes by L. Sylow and S. Lie},
PUBLISHER = {Imprimerie de Gr\o ndahl \& Son},
ADDRESS = {Christiania},
YEAR = {1981},
PAGES = {vi+341},
MRCLASS = {01A75},
MRNUMBER = {963863 (90d:01090b)},
}
@article {Abramov1975,
AUTHOR = {Abramov, Sergei A.},
TITLE = {The rational component of the solution of a first order linear
recurrence relation with rational right hand side},
JOURNAL = {\v Z. Vy\v cisl. Mat. i Mat. Fiz.},
FJOURNAL = {Akademija Nauk SSSR. \v Zurnal Vy\v cislitel\cprime no\u\i\
Matematiki i Matemati\v cesko\u\i\ Fiziki},
VOLUME = {15},
YEAR = {1975},
NUMBER = {4},
PAGES = {1035--1039, 1090},
ISSN = {0044-4669},
MRCLASS = {39A10},
MRNUMBER = {MR0393909 (52 \#14716)},
MRREVIEWER = {I. M. Sheffer},
}
@article{Abramov1989,
author = {Abramov, Sergei A.},
title = {Rational solutions of linear differential and difference equations with polynomial coefficients},
journal = {USSR Comput. Math. Math. Phys.},
volume = {29},
number = {6},
year = {1989},
issn = {0041-5553},
pages = {7--12},
doi = {http://dx.doi.org/10.1016/S0041-5553(89)80002-3},
publisher = {Pergamon Press, Inc.},
address = {Tarrytown, NY, USA},
}
@inproceedings{AbramovYu1991,
author = {Abramov, Sergei A. and Kvansenko, K. Yu},
title = {Fast algorithms to search for the rational solutions of linear differential equations with polynomial coefficients},
booktitle = {ISSAC '91: Proceedings of the 1991
{I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation},
year = {1991},
isbn = {0-89791-699-9},
pages = {267--270},
location = {Montreal, Quebec, Canada},
doi = {http://doi.acm.org/10.1145/220346.220383},
publisher = {ACM},
address = {New York, NY, USA},
}
@inproceedings{Abramov1995,
author = {Abramov, Sergei A.},
title = {Rational solutions of linear difference and $q$-difference equations with polynomial coefficients},
booktitle = {ISSAC '95: Proceedings of the 1995
{I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation},
year = {1995},
isbn = {0-89791-699-9},
pages = {285--289},
location = {Montreal, Quebec, Canada},
doi = {http://doi.acm.org/10.1145/220346.220383},
publisher = {ACM},
address = {New York, NY, USA},
}
@article {Abramov1999,
AUTHOR = {Abramov, Sergei A.},
TITLE = {Rational solutions of linear difference and {$q$}-difference
equations with polynomial coefficients},
JOURNAL = {Programmirovanie},
FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Programmirovanie},
YEAR = {1999},
NUMBER = {6},
PAGES = {74--80},
ISSN = {0132-3474},
MRCLASS = {65H05 (65Q05 68W30)},
MRNUMBER = {MR1778144 (2001e:65083)},
}
@inproceedings {Abramov2001,
AUTHOR = {Abramov, Sergei A. and Petkov{\v{s}}ek, Marko},
TITLE = {Minimal decomposition of indefinite hypergeometric sums},
BOOKTITLE = {ISSAC'01: Proceedings of the 2001
{I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation},
PAGES = {7--14 (electronic)},
PUBLISHER = {ACM},
ADDRESS = {New York},
YEAR = {2001},
MRCLASS = {33F10},
MRNUMBER = {MR2044586 (2004m:33034)},
}
@misc{AbramovPetkovsek2001,
author = {Abramov, Sergei A. and Petkov{\v{s}}ek, Marko},
title = {Proof of a conjecture of {W}ilf and {Z}eilberger},
year = 2001,
note = {Preprints Series of the Institute of Mathematics, Physics and Mechanics 39(748)(2001), Ljubljana,
March 9, 2001.},
}
@article{AbramovPetkovsek2002a,
author = {Abramov, Sergei A. and Petkov\v{s}ek, Marko},
title = {On the structure of multivariate hypergeometric terms},
journal = {Adv. Appl. Math.},
volume = {29},
number = {3},
year = {2002},
issn = {0196-8858},
pages = {386--411},
doi = {http://dx.doi.org/10.1016/S0196-8858(02)00022-2},
publisher = {Academic Press, Inc.},
address = {Orlando, FL, USA},
}
@article {AbramovPetkovsek2002b,
AUTHOR = {Abramov, Sergei A. and Petkov{\v{s}}ek, Marko},
TITLE = {Rational normal forms and minimal decompositions of
hypergeometric terms},
JOURNAL = {J. Symbolic Comput.},
FJOURNAL = {Journal of Symbolic Computation},
VOLUME = {33},
YEAR = {2002},
NUMBER = {5},
PAGES = {521--543},
ISSN = {0747-7171},
MRCLASS = {33F10 (68W30)},
MRNUMBER = {MR1919902 (2004i:33037)},
DOI = {10.1006/jsco.2002.0522},
URL = {http://dx.doi.org/10.1006/jsco.2002.0522},
}
@inproceedings {Abramov2002b,
AUTHOR = {Abramov, Sergei A.},
TITLE = {Applicability of {Z}eilberger's algorithm to hypergeometric
terms},
BOOKTITLE = {ISSAC'02: Proceedings of the 2002
{I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation},
PAGES = {1--7},
PUBLISHER = {ACM},
ADDRESS = {New York},
YEAR = {2002},
MRCLASS = {33F10},
MRNUMBER = {MR2035226 (2005f:33040)},
MRREVIEWER = {},
}
@inproceedings {AbramovLePetkovsek2003,
AUTHOR = {Abramov, Sergei A. and Le, Ha Quang and Petkov{\v{s}}ek, Marko},
TITLE = {Rational canonical forms and efficient representations of hypergeometric terms},
BOOKTITLE = {ISSAC'03: Proceedings of the 2003
{I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation},
PAGES = {7--14},
PUBLISHER = {ACM},
ADDRESS = {New York},
YEAR = {2003},
MRCLASS = {33F10},
MRNUMBER = {MR2035226 (2005f:33040)},
MRREVIEWER = {Marko Petkov{\v{s}}ek},
}
@article {Abramov2004,
AUTHOR = {Abramov, Sergei A. and Carette, Jacques J. and Geddes, Keith O. and Le, Ha Quang},
TITLE = {Telescoping in the context of symbolic summation in {M}aple},
JOURNAL = {J. Symbolic Comput.},
FJOURNAL = {Journal of Symbolic Computation},
VOLUME = {38},
YEAR = {2004},
NUMBER = {4},
PAGES = {1303--1326},
ISSN = {0747-7171},
MRCLASS = {05E35 (33F10 68W30)},
MRNUMBER = {2094542 (2005f:05173)},
DOI = {10.1016/j.jsc.2003.08.010},
URL = {http://dx.doi.org/10.1016/j.jsc.2003.08.010},
}
@article {AbramovLe2002,
AUTHOR = {Abramov, Sergei A. and Le, Ha Quang},
TITLE = {A criterion for the applicability of {Z}eilberger's algorithm
to rational functions},
JOURNAL = {Discrete Math.},
FJOURNAL = {Discrete Mathematics},
VOLUME = {259},
YEAR = {2002},
NUMBER = {1-3},
PAGES = {1--17},
ISSN = {0012-365X},
CODEN = {DSMHA4},
MRCLASS = {33F10 (68W30)},
MRNUMBER = {MR1948770 (2004h:33043)},
MRREVIEWER = {Marko Petkov{\v{s}}ek},
DOI = {10.1016/S0012-365X(02)00442-9},
URL = {http://dx.doi.org/10.1016/S0012-365X(02)00442-9},
}
@article {AbramovPetkovsek2008,
AUTHOR = {Abramov, Sergei A. and Petkov{\v{s}}ek, Marko},
TITLE = {Dimensions of solution spaces of {$H$}-systems},
JOURNAL = {J. Symbolic Comput.},
FJOURNAL = {Journal of Symbolic Computation},
VOLUME = {43},
YEAR = {2008},
NUMBER = {5},
PAGES = {377--394},
ISSN = {0747-7171},
MRCLASS = {33C70 (39A05)},
MRNUMBER = {2406570 (2009a:33016)},
MRREVIEWER = {Eugenia N. Petropoulou},
DOI = {10.1016/j.jsc.2007.11.006},
URL = {http://dx.doi.org/10.1016/j.jsc.2007.11.006},
}
@article {Abramov2003,
AUTHOR = {Abramov, Sergei A.},
TITLE = {When does {Z}eilberger's algorithm succeed?},
JOURNAL = {Adv. in Appl. Math.},
FJOURNAL = {Advances in Applied Mathematics},
VOLUME = {30},
YEAR = {2003},
NUMBER = {3},
PAGES = {424--441},
ISSN = {0196-8858},
MRCLASS = {33F10 (05A15)},
MRNUMBER = {MR1973952 (2005c:33017)},
MRREVIEWER = {Marko Petkov{\v{s}}ek},
DOI = {10.1016/S0196-8858(02)00504-3},
URL = {http://dx.doi.org/10.1016/S0196-8858(02)00504-3},
}
% Cheat to fit on three lines
% algorithms and the sharpening of {W}ilf-{Z}eilberger theory},
@article {Apagodu2006,
AUTHOR = {Apagodu, Moa and Zeilberger, Doron},
TITLE = {Multi-variable {Z}eilberger and {A}lmkvist-{Z}eilberger
algorithms and the sharpening of {W}ilf-{} {Z}eilberger theory},
JOURNAL = {Adv. in Appl. Math.},
FJOURNAL = {Advances in Applied Mathematics},
VOLUME = {37},
YEAR = {2006},
NUMBER = {2},
PAGES = {139--152},
ISSN = {0196-8858},
MRCLASS = {33F10 (05A20 05A30 65D30 68W30)},
MRNUMBER = {MR2251432 (2008e:33054)},
MRREVIEWER = {Carsten Schneider},
}
@ARTICLE{BronsteinPetkovsek1996,
author = {Manuel Bronstein and Marko Petkov{\v{s}}ek},
title = {An Introduction to Pseudo-Linear Algebra},
journal = {Theoretical Computer Science},
year = {1996},
volume = {157},
pages = {3--33}
}
@article {Bernstein1971,
AUTHOR = {Bern{\v{s}}te{\u\i}n, Joseph},
TITLE = {Modules over a ring of differential operators. {A}n
investigation of the fundamental solutions of equations with
constant coefficients},
JOURNAL = {Funkcional. Anal. i Prilo\v zen.},
FJOURNAL = {Akademija Nauk SSSR. Funkcional\cprime nyi Analiz i ego
Prilo\v zenija},
VOLUME = {5},
YEAR = {1971},
NUMBER = {2},
PAGES = {1--16},
ISSN = {0374-1990},
MRCLASS = {46.40 (13.00)},
MRNUMBER = {0290097 (44 \#7282)},
MRREVIEWER = {S. Lojasiewicz},
}
@inproceedings{BCCS2006,
author = {Bostan, Alin and Chyzak, Fr{\'e}d{\'e}ric and Cluzeau,
Thomas and Salvy, Bruno},
title = {Low Complexity Algorithms for Linear Recurrences},
booktitle = {ISSAC'06: Proceedings of the 2006
{I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation},
year = {2006},
editor = {Dumas, Jean-Guillaume},
publisher = {ACM Press},
pages = {31--38},
doi = {10.1145/1145768.1145781},
arxiv = {abs/cs/0605068},
abstract = {},
}
@incollection {BCLSS2007,
AUTHOR = {Bostan, Alin and Chyzak, Fr{\'e}d{\'e}ric and Salvy, Bruno and
Lecerf, Gr{\'e}goire and Schost, {\'E}ric},
TITLE = {Differential equations for algebraic functions},
BOOKTITLE = {ISSAC'07: Proceedings of the 2007
{I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation},
PAGES = {25--32},
PUBLISHER = {ACM},
ADDRESS = {New York},
YEAR = {2007},
MRCLASS = {68W30 (12H05 34M15)},
MRNUMBER = {MR2396180},
}
@Unpublished{BCLS2008,
author = {Bostan, Alin and Chyzak, Fr{\'e}d{\'e}ric and Li, Ziming and Salvy, Bruno},
title = {Common multiples of linear ordinary differential and difference operators},
note = {In preparation}
}
@inproceedings{BCCL2010,
author = {Bostan, Alin and Chen, Shaoshi and Chyzak, Fr\'{e}d\'{e}ric and Li, Ziming},
title = {Complexity of creative telescoping for bivariate rational functions},
booktitle = {Proceedings of ISSAC'10},
year = {2010},
isbn = {978-1-4503-0150-3},
pages = {203--210},
location = {Munich, Germany},
doi = {http://doi.acm.org/10.1145/1837934.1837975},
}
%publisher = {ACM},
%address = {New York, NY, USA},
@article {Chudnovsky1987,
AUTHOR = {Chudnovsky, David Volfovich and Chudnovsky, Gregory Volfovich},
TITLE = {On expansion of algebraic functions in power and {P}uiseux
series. {II}},
JOURNAL = {J. Complexity},
FJOURNAL = {Journal of Complexity},
VOLUME = {3},
YEAR = {1987},
NUMBER = {1},
PAGES = {1--25},
ISSN = {0885-064X},
MRCLASS = {68Q25 (11Q05 12-04 58F07 65D15)},
MRNUMBER = {883165 (90d:68031b)},
MRREVIEWER = {John Todd},
}
@article {Chudnovsky1986,
AUTHOR = {Chudnovsky, David Volfovich and Chudnovsky, Gregory Volfovich},
TITLE = {On expansion of algebraic functions in power and {P}uiseux
series. {I}},
JOURNAL = {J. Complexity},
FJOURNAL = {Journal of Complexity},
VOLUME = {2},
YEAR = {1986},
NUMBER = {4},
PAGES = {271--294},
ISSN = {0885-064X},
MRCLASS = {68Q25 (11Q05 12-04 58F07 65D15)},
MRNUMBER = {923022 (90d:68031a)},
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@Unpublished{CCFL2010,
author = {Chen, Shaoshi and Chyzak, Fr{\'e}d{\'e}ric and and Feng, Ruyong and Li, Ziming},
title = {On the existence of telescopers for hyperexponential-hypergeomeytric functions},
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author = {Chen, Shaoshi},
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year = {2011},
month = {February},
school = {{\'E}cole {P}olytechnique (Palaiseau, France)},
note = {},
abstract = {},
}
@Unpublished{CFFL2011,
author = {Chen, Shaoshi and Feng, Ruyong, and Fu, Guofeng and Li, Ziming},
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note = {In preparation}
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@PHDTHESIS{ChyzakThesis,
AUTHOR = {Chyzak, Fr\'ed\'eric},
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abstract = {},
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% PAGES = {Research Paper 8, 10 pp. (electronic)},
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@article {Gerhard2001,
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@inproceedings{Gerhard2003,
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title = {Shiftless decomposition and polynomial-time rational summation},
booktitle = {Proceedings of the 2003 {I}nternational {S}ymposium on {S}ymbolic and {A}lgebraic {C}omputation},
series = {ISSAC '03},
year = {2003},
isbn = {1-58113-641-2},
location = {Philadelphia, PA, USA},
pages = {119--126},
numpages = {8},
url = {http://doi.acm.org/10.1145/860854.860887},
doi = {http://doi.acm.org/10.1145/860854.860887},
acmid = {860887},
publisher = {ACM},
address = {New York, NY, USA},
keywords = {},
}
% Cheating to fit on two lines.
% title = {Modular Algorithms in Symbolic Summation and Symbolic Integration (Lecture Notes in Computer Science)},
@book{Gerhard2004,
author = {J{\"u}rgen Gerhard},
title = {Modular {A}lgorithms in {S}ymbolic {S}ummation and {S}ymbolic {I}ntegration (LNCS)},
year = {2004},
isbn = {3540240616},
publisher = {SpringerVerlag},
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@inproceedings{Bronstein2005,
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