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On the dimension of solution spaces of full rank linear differential systems
S.A. Abramov
,
M.A. Barkatou
Lecture Notes in Computer Science
8136
, 2013, pp. 1-9
Linear
q
-difference equations depending on a parameter
S.A. Abramov
,
A.A. Ryabenko
Journal Symbolic Computation
49
, 2013, pp. 65-77
On polynomial solutions of linear partial differential and
(q-)
difference equations
S.A. Abramov
,
M. Petkovs̑ek
Lecture Notes in Computer Science
7442
, 2012, pp. 1-11
Higher-order linear differential systems with truncated coefficients
S.A. Abramov
,
M.A. Barkatou
,
E. Pflügel
Lecture Notes in Computer Science
6885
, 2011, pp. 10-24
Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences
S.A. Abramov
,
M.A. Barkatou
,
M. van Hoeij
,
M. Petkovs̑ek
Journal Symbolic Computation
46
(11), 2011, pp. 1205-1228
Factorization of polynomials and GCD computations for finding universal denominators
S.A. Abramov
,
A. Gheffar
,
D.E. Khmelnov
Lecture Notes in Computer Science
6244
, 2010, pp. 4-18
Polynomial ring automorphisms, rational
(w,\sigma)
-canonical forms, and the assignment problem
S.A. Abramov
,
M. Petkovs̑ek
Journal Symbolic Computation
45
(6), 2010, pp. 684-708
On some decidable and undecidable problems related to
q
-difference equations with parameters
S.A. Abramov
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, ISSAC'2010 (Technische Universität München, Munich, Germany, July 25-28, 2010)
, 2010, pp. 311-317
On
m
-interlacing solutions of linear difference equations
S.A. Abramov
,
M.A. Barkatou
,
D.E. Khmelnov
Lecture Notes in Computer Science
5743
, 2009, pp. 1-17
d'Alembertian series solutions at ordinary points of LODE with polynomial coefficients
S.A. Abramov
,
M.A. Barkatou
Journal Symbolic Computation
44
(1), 2009, pp. 48-59
Dimensions of solution spaces of
H
-systems
S.A. Abramov
,
M. Petkovs̑ek
Journal Symbolic Computation
43
(5), 2008, pp. 377-394
Analytic solutions of linear difference equations, formal series, and bottom summation
S.A. Abramov
,
M. Petkovs̑ek
Lecture Notes in Computer Science
4770
, 2007, pp. 1-10
On the summation of
P
-recursive sequences
S.A. Abramov
Proceedings of the 2006 International Symposium on Symbolic and Algebraic Computation, ISSAC'2006 (Università degli Studi di Genova, Genova, Italy, July 9-12, 2006)
, 2006, pp. 17-22
On regular and logarithmic solutions of ordinary linear differential systems
S.A. Abramov
,
M. Bronstein
,
D.E. Khmelnov
Lecture Notes in Computer Science
3718
, 2005, pp. 1-12
Telescoping in the context of symbolic summation in Maple
S.A. Abramov
,
J.J. Carette
,
K.O. Geddes
,
H.Q. Le
Journal Symbolic Computation
38
(4), 2004, pp. 1303-1326
Erratum to ''Rational normal forms and minimal decompositions of hypergeometric terms''
S.A. Abramov
,
M. Petkovs̑ek
Journal Symbolic Computation
38
(3), 2004, pp. 1165-1165
Gosper's algorithm, accurate summation, and the discrete Newton-Leibniz formula
S.A. Abramov
,
M. Petkovs̑sek
Proceedings of the 2005 International Symposium on Symbolic and Algebraic Computation, ISSAC'2005 (Beijing, China, July 24-27, 2005)
, 2004, pp. 5-12
Rational canonical forms and efficient representations of hypergeometric terms
S.A. Abramov
,
H.Q. Le
,
M. Petkovs̑ek
Proceedings of the 2003 International Symposium on Symbolic and Algebraic Computation, ISSAC'2003 (Philadelphia, PA, USA, August 03-06, 2003)
, 2003, pp. 7-14
Rational normal forms and minimal decompositions of hypergeometric terms
S.A. Abramov
,
M. Petkovs̑ek
Journal Symbolic Computation
33
(5), 2002, pp. 521-543
Applicability of Zeilberger's algorithm to hypergeometric terms
S.A. Abramov
Proceedings of the 2002 International Symposium on Symbolic and Algebraic Computation, ISSAC'2002 (Université de Lille, Lille, France, July 07-10, 2002)
, 2002, pp. 1-7
Rational solutions of first order linear difference systems
S.A. Abramov
,
M.A. Barkatou
Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation, ISSAC'98 (University of Rostock, Germany, August 13-15, 1998)
, 1998, pp. 124-131
Rational solutions of linear difference and
q
-difference equations with polynomial coefficients
S.A. Abramov
Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, ISSAC'95 (Montreal, Canada, July 10-12, 1995)
, 1995, pp. 285-289
Indefinite sums of rational functions
S.A. Abramov
Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, ISSAC'95 (Montreal, Canada, July 10-12, 1995)
, 1995, pp. 303-308
On the greatest common divisor of polynomials which depend on a parameter
S.A. Abramov
,
K.Yu. Kvashenko
Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC'93 (Kiev, Ukraine, July 6-8, 1993)
, 1993, pp. 152-156
On d'Alembert substitution
S.A. Abramov
Proceedings of the 1993 International Symposium on Symbolic and Algebraic Computation, ISSAC'93 (Kiev, Ukraine, July 6-8, 1993)
, 1993, pp. 20-26
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