%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2019-05-29 12:17:20 +1000 %% Saved with string encoding Unicode (UTF-8) @book{andrews, Author = {Andrews, G. E. and Askey, R. and Roy, R.}, Date-Modified = {2019-05-29 12:05:11 +1000}, Publisher = {Cambridge University Press}, Series = {Encyclopedia of Mathematics and its Applications}, Title = {Special Functions}, Year = {1999}} @incollection{chyzak98, Author = {Chyzak, F.}, Booktitle = {Gr\"obner Bases and Applications ({L}inz, 1998)}, Date-Modified = {2019-05-29 12:05:24 +1000}, Number = {251}, Pages = {32--60}, Publisher = {Cambridge Univ. Press, Cambridge}, Series = {London Math. Soc. Lecture Note Ser.}, Title = {Gr\"obner bases, symbolic summation and symbolic integration}, Year = {1998}} @article{ajp:vp:dd-finite, Author = {Jim\'enez-Pastor, A. and Pillwein, V.}, Date-Modified = {2019-05-29 12:07:09 +1000}, Doi = {10.1016/j.jsc.2018.07.002}, Journal = {J. Symbolic Comput.}, Pages = {90--104}, Title = {{A computable extension for holonomic functions: DD-finite functions}}, Volume = {94}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.1006/j.jsc.2018.07.002}} @inproceedings{ajp:vp:issac18, Author = {Jim\'enez-Pastor, A. and Pillwein, V.}, Booktitle = {{Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation}}, Date-Modified = {2019-05-29 12:08:23 +1000}, Doi = {10.1145/3208976.3209009}, Editor = {Arreche Carlos}, Keywords = {algorithms, closure properties, holonomic functions}, Language = {english}, Length = {7}, Pages = {231--237}, Publisher = {ACM}, address = {New York, NY}, Refereed = {yes}, Title = {{Algorithmic Arithmetics with DD-Finite Functions}}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.1145/3208976.3209009}} @misc{ajp:vp:ms:structure, Author = {Jim\'enez-Pastor, A. and Pillwein, V. and Singer, M.~F.}, Date-Modified = {2019-05-29 12:09:20 +1000}, Howpublished = {Doctoral Program Computational Mathematics}, Title = {Some structural results on Dn-finite functions}, Url = {https://www.dk-compmath.jku.at/publications/dk-reports/2019-02-26/at_download/file}, Year = {2019}} @inproceedings{oresage, Author = {Kauers, M. and Jaroschek, M. and Johansson, F.}, Booktitle = {{Computer Algebra and Polynomials}}, Date-Modified = {2019-05-29 12:14:55 +1000}, Doi = {10.1007/978-3-319-15081-9_6 }, Editor = {Jaime Gutierrez and Josef Schicho and Martin Weimann}, Pages = {105--125}, Series = {Lecture Notes in Computer Science}, Title = {{Ore Polynomials in Sage}}, Year = {2014}} @book{mk:pp:CT, Author = {Kauers, M. and Paule, P.}, Date-Modified = {2019-05-29 12:15:14 +1000}, Edition = {1}, Publisher = {Springer}, Title = {The Concrete Tetrahedron: Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates}, Year = {2011}} @phdthesis{koutschan, Author = {Koutschan, C.}, Date-Modified = {2019-05-29 12:15:53 +1000}, Language = {english}, Length = {151}, School = {RISC-Linz, Johannes Kepler University}, Title = {{Advanced Applications of the Holonomic Systems Approach}}, Translation = {0}, Url = {http://www.risc.uni-linz.ac.at/research/combinat/software/HolonomicFunctions/}, Year = {2009}, Bdsk-Url-1 = {http://www.risc.uni-linz.ac.at/research/combinat/software/HolonomicFunctions/}} @mastersthesis{mallinger, Author = {Mallinger, C.}, Date-Modified = {2019-05-29 12:15:39 +1000}, Language = {english}, Length = {87}, School = {RISC, J. Kepler University}, Title = {Algorithmic Manipulations and Transformations of Univariate Holonomic Functions and Sequences}, Translation = {0}, Year = {1996}} @misc{NIST:DLMF, Date-Modified = {2019-05-29 12:05:53 +1000}, Howpublished = {\url{http://dlmf.nist.gov/}, Release 1.0.16 of 2017-09-18}, Key = {{\relax DLMF}}, Note = {F.~W.~J. Olver, A.~B. {Olde Daalhuis}, D.~W. Lozier, B.~I. Schneider, R.~F. Boisvert, C.~W. Clark, B.~R. Miller and B.~V. Saunders, eds.}, Title = {{\it NIST Digital Library of Mathematical Functions}}, Bdsk-Url-1 = {http://dlmf.nist.gov/}} @book{RainvilleSF, Address = {Bronx, N.Y.}, Author = {Rainville, E.~D.}, Date-Modified = {2019-05-29 12:16:08 +1000}, Edition = {1}, Mrclass = {33-XX (42A52)}, Mrnumber = {MR0393590 (52 \#14399)}, Publisher = {Chelsea Publishing Co.}, Title = {{Special Functions}}, Year = {1971}} @article{gfun, Author = {Salvy, B. and Zimmermann, P.}, Date-Modified = {2019-05-29 12:16:43 +1000}, Doi = {10.1145/178365.178368}, Journal = {ACM Transactions on Mathematical Software}, Number = {2}, Pages = {163--177}, Title = {{Gfun: a Maple package for the manipulation of generating and holonomic functions in one variable}}, Volume = {20}, Year = {1994}} @article{stanley:1980, Author = {Stanley, R.~P.}, Date-Modified = {2019-05-29 12:16:58 +1000}, Doi = {10.1016/S0195-6698(80)80051-5}, Journal = {European J. Combin.}, Number = {2}, Pages = {175--188}, Title = {Differentiably Finite Power Series}, Volume = {1}, Year = {1980}, Bdsk-Url-1 = {https://doi.org/10.1016/S0195-6698(80)80051-5}} @book{stanley:enum-comb:2, Author = {Stanley, R.~P.}, Date-Modified = {2019-05-29 12:17:20 +1000}, Publisher = {Cambridge University Press, Cambridge}, Title = {{Enumerative Combinatorics, Vol. 2}}, Year = {1999}}