@article{MR2117363,
 author = {Brychkov, Yu. A. and Geddes, K. O.},
 doi = {10.1080/10652460410001727572},
 journal = {Integral Transforms Spec. Funct.},
 pages = {187--198},
 title = {On the derivatives of the {B}essel and {S}truve functions with
respect to the order},
 url = {https://doi.org/10.1080/10652460410001727572},
 volume = {16},
 year = {2005}
}

@incollection{MR2280533,
 author = {Carvajal, Orlando A. and Chapman, Frederick W. and Geddes,
Keith O.},
 booktitle = {I{SSAC}'05},
 doi = {10.1145/1073884.1073898},
 pages = {84--91},
 publisher = {ACM, New York},
 title = {Hybrid symbolic-numeric integration in multiple dimensions via
tensor-product series},
 url = {https://doi.org/10.1145/1073884.1073898},
 year = {2005}
}

@article{DBLP:journals/jsc/AbramovCGL04,
 author = {Sergei A. Abramov and
Jacques Carette and
Keith O. Geddes and
Ha Q. Le},
 doi = {10.1016/j.jsc.2003.08.010},
 journal = {J. Symb. Comput.},
 pages = {1303--1326},
 title = {Telescoping in the context of symbolic summation in Maple},
 url = {https://doi.org/10.1016/j.jsc.2003.08.010},
 volume = {38},
 year = {2004}
}

@incollection{MR2094371,
 author = {Brychkov, Yu. A. and Geddes, K. O.},
 booktitle = {Abstract and applied analysis},
 pages = {15--28},
 publisher = {World Sci. Publ., River Edge, NJ},
 title = {Differentiation of hypergeometric functions with respect to
parameters},
 year = {2004}
}

@incollection{MR2126942,
 author = {Geddes, Keith and Le, Ha and Li, Ziming},
 booktitle = {I{SSAC} 2004},
 doi = {10.1145/1005285.1005313},
 pages = {183--190},
 publisher = {ACM, New York},
 title = {Differential rational normal forms and a reduction algorithm
for hyperexponential functions},
 url = {https://doi.org/10.1145/1005285.1005313},
 year = {2004}
}

@inproceedings{DBLP:conf/issac/GeddesZ03,
 author = {Keith O. Geddes and
Wei Wei Zheng},
 booktitle = {Symbolic and Algebraic Computation, International Symposium {ISSAC}
2003, Drexel University, Philadelphia, Pennsylvania, USA, August 3-6,
2003, Proceedings},
 doi = {10.1145/860854.860886},
 editor = {J. Rafael Sendra},
 pages = {111--118},
 publisher = {{ACM}},
 title = {Exploiting fast hardware floating point in high precision computation},
 url = {https://doi.org/10.1145/860854.860886},
 year = {2003}
}

@incollection{MR1932618,
 author = {Abramov, S. A. and Geddes, K. O. and Le, H. Q.},
 booktitle = {Mathematical software ({B}eijing, 2002)},
 pages = {319--329},
 publisher = {World Sci. Publ., River Edge, NJ},
 title = {Computer algebra library for the construction of the minimal
telescopers},
 year = {2002}
}

@incollection{MR1932626,
 author = {Geddes, K. O. and Le, H. Q.},
 booktitle = {Mathematical software ({B}eijing, 2002)},
 pages = {453--463},
 publisher = {World Sci. Publ., River Edge, NJ},
 title = {An algorithm to compute the minimal telescopers for rational
functions (differential-integral case)},
 year = {2002}
}

@article{DBLP:journals/cca/Geddes99,
 author = {Keith O. Geddes},
 doi = {10.1145/334714.334717},
 journal = {{SIGSAM} Bull.},
 pages = {29--42},
 title = {Generating numerical {ODE} formulas via a symbolic calculus of divided
differences},
 url = {https://doi.org/10.1145/334714.334717},
 volume = {33},
 year = {1999}
}

@proceedings{DBLP:conf/issac/1999,
 editor = {Keith O. Geddes and
Bruno Salvy and
Samuel S. Dooley},
 publisher = {{ACM}},
 title = {Proceedings of the 1999 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '99, Vancouver, B.C., Canada, July 29-31, 1999},
 url = {http://dl.acm.org/citation.cfm?id=309831},
 year = {1999}
}

@incollection{MR1463218,
 author = {Kavian, Masoud and McLenaghan, R. G. and Geddes, K. O.},
 booktitle = {The {S}ixth {C}anadian {C}onference on {G}eneral {R}elativity
and {R}elativistic {A}strophysics ({F}redericton, {NB}, 1995)},
 pages = {269--272},
 publisher = {Amer. Math. Soc., Providence, RI},
 title = {Maple{T}ensor: a new system for performing indicial and
component tensor calculations by computer},
 volume = {15},
 year = {1997}
}

@inproceedings{DBLP:conf/issac/KavianMG97,
 author = {Masoud Kavian and
R. G. McLenaghan and
Keith O. Geddes},
 booktitle = {Proceedings of the 1997 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} 1997, Maui, Hawaii, USA, July 21-23, 1997},
 doi = {10.1145/258726.258759},
 editor = {Bruce W. Char and
Paul S. Wang and
Wolfgang K{\"{u}}chlin},
 pages = {93--100},
 publisher = {{ACM}},
 title = {Application of Genetic Algorithms to the Algebraic Simplification
of Tensor Polynomials},
 url = {https://doi.org/10.1145/258726.258759},
 year = {1997}
}

@inproceedings{DBLP:conf/issac/KavianMG96,
 author = {Masoud Kavian and
R. G. McLenaghan and
Keith O. Geddes},
 booktitle = {Proceedings of the 1996 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '96, Zurich, Switzerland, July 24-26, 1996},
 doi = {10.1145/236869.237075},
 editor = {Erwin Engeler and
B. F. Caviness and
Yagati N. Lakshman},
 pages = {204--211},
 publisher = {{ACM}},
 title = {MapleTensor: Progress Report on a New System for Performing Indicial
and Component Tensor Calculations Using Symbolic Computation},
 url = {https://doi.org/10.1145/236869.237075},
 year = {1996}
}

@book{MR1256483,
 author = {Geddes, K. O. and Czapor, S. R. and Labahn, G.},
 doi = {10.1007/b102438},
 pages = {xxii+585},
 publisher = {Kluwer Academic Publishers, Boston, MA},
 title = {Algorithms for computer algebra},
 url = {https://doi.org/10.1007/b102438},
 year = {1992}
}

@inproceedings{DBLP:conf/issac/GeddesF92,
 author = {Keith O. Geddes and
Gregory J. Fee},
 booktitle = {Proceedings of the 1992 International Symposium on Symbolic and Algebraic
Computation, {ISSAC} '92, Berkeley, CA, USA, July 27-29, 1992},
 doi = {10.1145/143242.143262},
 editor = {Paul S. Wang},
 pages = {36--41},
 publisher = {{ACM}},
 title = {Hybrid Symbolic-Numeric Integration in {MAPLE}},
 url = {https://doi.org/10.1145/143242.143262},
 year = {1992}
}

@book{DBLP:books/daglib/0066812,
 author = {Bruce W. Char and
Keith O. Geddes and
Gaston H. Gonnet and
Benton L. Leong and
Michael B. Monagan},
 publisher = {Springer},
 title = {Maple {V} - library reference manual},
 year = {1991}
}

@book{DBLP:books/daglib/0066813,
 author = {Bruce W. Char and
Keith O. Geddes and
Gaston H. Gonnet and
Benton L. Leong and
Michael B. Monagan},
 publisher = {Springer},
 title = {Maple {V} - language reference manual},
 year = {1991}
}

@article{DBLP:journals/aaecc/GeddesGMS90,
 author = {Keith O. Geddes and
M. Lawrence Glasser and
Reg A. Moore and
Tony C. Scott},
 doi = {10.1007/BF01810298},
 journal = {Appl. Algebra Eng. Commun. Comput.},
 pages = {149--165},
 title = {Evaluation of Classes of Definite Integrals Involving Elementary Functions
via Differentiation of Special Functions},
 url = {https://doi.org/10.1007/BF01810298},
 volume = {1},
 year = {1990}
}

@article{MR1068028,
 author = {Scott, T. C. and Moore, R. A. and Fee, G. J. and Monagan, M.
B. and Labahn, G. and Geddes, K. O.},
 doi = {10.1142/S0129183190000037},
 journal = {Internat. J. Modern Phys. C},
 pages = {53--76},
 title = {Perturbative solutions of quantum mechanical problems by
symbolic computation: a review},
 url = {https://doi.org/10.1142/S0129183190000037},
 volume = {1},
 year = {1990}
}

@article{DBLP:journals/jsc/CharGG89,
 author = {Bruce W. Char and
Keith O. Geddes and
Gaston H. Gonnet},
 doi = {10.1016/S0747-7171(89)80004-5},
 journal = {J. Symb. Comput.},
 pages = {31--48},
 title = {{GCDHEU:} Heuristic Polynomial {GCD} Algorithm Based On Integer {GCD}
Computation},
 url = {https://doi.org/10.1016/S0747-7171(89)80004-5},
 volume = {7},
 year = {1989}
}

@incollection{MR1005976,
 author = {Geddes, K. O. and Scott, T. C.},
 booktitle = {Computers and mathematics ({C}ambridge, {MA}, 1989)},
 doi = {10.1007/978-1-4613-9647-5_24},
 pages = {192--201},
 publisher = {Springer, New York},
 title = {Recipes for classes of definite integrals involving
exponentials and logarithms},
 url = {https://doi.org/10.1007/978-1-4613-9647-5_24},
 year = {1989}
}

@inproceedings{DBLP:conf/issac/GeddesS89,
 author = {Keith O. Geddes and
L. Yohanes Stefanus},
 booktitle = {Proceedings of the {ACM-SIGSAM} 1989 International Symposium on Symbolic
and Algebraic Computation, {ISSAC} '89, Portland, Oregon, USA, July
17-19, 1989},
 doi = {10.1145/74540.74567},
 editor = {Gaston H. Gonnet},
 pages = {212--217},
 publisher = {{ACM}},
 title = {On the Risch-Norman Integration Method and Its Implementation in {MAPLE}},
 url = {https://doi.org/10.1145/74540.74567},
 year = {1989}
}

@inproceedings{DBLP:conf/issac/GeddesG88,
 author = {Keith O. Geddes and
Gaston H. Gonnet},
 booktitle = {Symbolic and Algebraic Computation, International Symposium ISSAC'88,
Rome, Italy, July 4-8, 1988, Proceedings},
 doi = {10.1007/3-540-51084-2_47},
 editor = {Patrizia M. Gianni},
 pages = {490--495},
 publisher = {Springer},
 title = {A New Algorithm for Computing Symbolic Limits Using Hierarchical Series},
 url = {https://doi.org/10.1007/3-540-51084-2_47},
 volume = {358},
 year = {1988}
}

@inproceedings{DBLP:conf/issac/GeddesGS88,
 author = {Keith O. Geddes and
Gaston H. Gonnet and
Trevor J. Smedley},
 booktitle = {Symbolic and Algebraic Computation, International Symposium ISSAC'88,
Rome, Italy, July 4-8, 1988, Proceedings},
 doi = {10.1007/3-540-51084-2_45},
 editor = {Patrizia M. Gianni},
 pages = {475--480},
 publisher = {Springer},
 title = {Heuristic Methods for Operations With Algebraic Numbers. (Extended
Abstract)},
 url = {https://doi.org/10.1007/3-540-51084-2_45},
 volume = {358},
 year = {1988}
}

@article{DBLP:journals/jsc/CharFGGM86,
 author = {Bruce W. Char and
Gregory J. Fee and
Keith O. Geddes and
Gaston H. Gonnet and
Michael B. Monagan},
 doi = {10.1016/S0747-7171(86)80021-9},
 journal = {J. Symb. Comput.},
 pages = {179--200},
 title = {A Tutorial Introduction to Maple},
 url = {https://doi.org/10.1016/S0747-7171(86)80021-9},
 volume = {2},
 year = {1986}
}

@inproceedings{DBLP:conf/issac/CharGGMP86,
 author = {Bruce W. Char and
Keith O. Geddes and
Gaston H. Gonnet and
Beverly J. Marshman and
Peter J. Ponzo},
 booktitle = {Proceedings of the Symposium on Symbolic and Algebraic Manipulation,
{SYMSAC} 1986, Waterloo, Ontario, Canada, July 21-23, 1986},
 doi = {10.1145/32439.32467},
 editor = {Bruce W. Char},
 pages = {135--140},
 publisher = {{ACM}},
 title = {Computer algebra in the undergraduate mathematics classroom},
 url = {https://doi.org/10.1145/32439.32467},
 year = {1986}
}

@inproceedings{DBLP:conf/issac/CzaporG86,
 author = {Stephen R. Czapor and
Keith O. Geddes},
 booktitle = {Proceedings of the Symposium on Symbolic and Algebraic Manipulation,
{SYMSAC} 1986, Waterloo, Ontario, Canada, July 21-23, 1986},
 doi = {10.1145/32439.32486},
 editor = {Bruce W. Char},
 pages = {233--238},
 publisher = {{ACM}},
 title = {On implementing Buchberger's algorithm for Grobner bases},
 url = {https://doi.org/10.1145/32439.32486},
 year = {1986}
}

@inproceedings{DBLP:conf/issac/Geddes86,
 author = {Keith O. Geddes},
 booktitle = {Proceedings of the Symposium on Symbolic and Algebraic Manipulation,
{SYMSAC} 1986, Waterloo, Ontario, Canada, July 21-23, 1986},
 doi = {10.1145/32439.32476},
 editor = {Bruce W. Char},
 pages = {185--191},
 publisher = {{ACM}},
 title = {Numerical integration in a symbolic context},
 url = {https://doi.org/10.1145/32439.32476},
 year = {1986}
}

@incollection{MR779130,
 author = {Czapor, Stephen R. and Geddes, Keith O.},
 booktitle = {E{UROSAM} 84 ({C}ambridge, 1984)},
 doi = {10.1007/BFb0032847},
 pages = {248--259},
 publisher = {Springer, Berlin},
 title = {A comparison of algorithms for the symbolic computation of
{P}ad\'{e} approximants},
 url = {https://doi.org/10.1007/BFb0032847},
 volume = {174},
 year = {1984}
}

@incollection{MR779134,
 author = {Char, Bruce W. and Geddes, Keith O. and Gonnet, Gaston H.},
 booktitle = {E{UROSAM} 84 ({C}ambridge, 1984)},
 doi = {10.1007/BFb0032851},
 pages = {285--296},
 publisher = {Springer, Berlin},
 title = {G{CDHEU}: heuristic polynomial {GCD} algorithm based on
integer {GCD} computation},
 url = {https://doi.org/10.1007/BFb0032851},
 volume = {174},
 year = {1984}
}

@article{DBLP:journals/cca/CharGG83,
 author = {Bruce W. Char and
Keith O. Geddes and
Gaston H. Gonnet},
 doi = {10.1145/1089338.1089344},
 journal = {{SIGSAM} Bull.},
 pages = {31--42},
 title = {The maple symbolic computation system},
 url = {https://doi.org/10.1145/1089338.1089344},
 volume = {17},
 year = {1983}
}

@article{DBLP:journals/cca/GonnetCG83,
 author = {Gaston H. Gonnet and
Bruce W. Char and
Keith O. Geddes},
 doi = {10.1145/1089338.1089346},
 journal = {{SIGSAM} Bull.},
 pages = {48--49},
 title = {Solution of a general system of equations},
 url = {https://doi.org/10.1145/1089338.1089346},
 volume = {17},
 year = {1983}
}

@inproceedings{DBLP:conf/eurocal/CharGGG83,
 author = {Bruce W. Char and
Keith O. Geddes and
W. Morven Gentleman and
Gaston H. Gonnet},
 booktitle = {Computer Algebra, {EUROCAL} '83, European Computer Algebra Conference,
London, England, March 28-30, 1983, Proceedings},
 doi = {10.1007/3-540-12868-9_95},
 editor = {J. A. van Hulzen},
 pages = {101--115},
 publisher = {Springer},
 title = {The design of maple: {A} compact, portable and powerful computer algebra
system},
 url = {https://doi.org/10.1007/3-540-12868-9_95},
 volume = {162},
 year = {1983}
}

@article{MR629669,
 author = {Geddes, K. O.},
 doi = {10.1137/0718058},
 journal = {SIAM J. Numer. Anal.},
 pages = {844--861},
 title = {Block structure in the {C}hebyshev-{P}ad\'{e} table},
 url = {https://doi.org/10.1137/0718058},
 volume = {18},
 year = {1981}
}

@article{DBLP:journals/toms/Geddes79a,
 author = {Keith O. Geddes},
 doi = {10.1145/355826.355838},
 journal = {{ACM} Trans. Math. Softw.},
 pages = {240},
 title = {Remark on "Algorithm 424: Clenshaw-Curtis Quadrature [O1]"},
 url = {https://doi.org/10.1145/355826.355838},
 volume = {5},
 year = {1979}
}

@article{DBLP:journals/toms/Geddes79,
 author = {Keith O. Geddes},
 doi = {10.1145/355826.355835},
 journal = {{ACM} Trans. Math. Softw.},
 pages = {218--233},
 title = {Symbolic Computation of Pad{\'{e}} Approximants},
 url = {https://doi.org/10.1145/355826.355835},
 volume = {5},
 year = {1979}
}

@incollection{MR575690,
 author = {Geddes, K. O.},
 booktitle = {Symbolic and algebraic computation ({EUROSAM} '79, {I}nternat.
{S}ympos., {M}arseille, 1979)},
 pages = {189--199},
 publisher = {Springer, Berlin-New York},
 title = {Convergence behaviour of the {N}ewton iteration for
first-order differential equations},
 volume = {72},
 year = {1979}
}

@inproceedings{DBLP:conf/eurosam/Geddes79,
 author = {Keith O. Geddes},
 booktitle = {Symbolic and Algebraic Computation, {EUROSAM} '79, An International
Symposiumon Symbolic and Algebraic Computation, Marseille, France,
June 1979, Proceedings},
 doi = {10.1007/3-540-09519-5_71},
 editor = {Edward W. Ng},
 pages = {189--199},
 publisher = {Springer},
 title = {Convergence behavior of the Newton iteration for first order differential
equations},
 url = {https://doi.org/10.1007/3-540-09519-5_71},
 volume = {72},
 year = {1979}
}