Software by Luis A. Medina and others.
Risch and Parallel Risch Algorithms
These algorithms are based on
Manuel Bronstein
's Book:
Symbolic Integration I - Transcendental Functions
Algorithms and Computations in Mathematics, Vol.1 Springer, Heidelberg and on
Manuel Bronstein
's
"Poor Man Integrator"
. This work was done during the summer and fall 2007 at
Wolfram Research Inc
. Put all softwares in the same folder.
Mathematica Packages (supervised by Sasha Pavlyk,
WRI
)
AlgebraicPrelim.m
CoupledDESystem.m
Misc.m
ParametricProblems.m
pmint.m
RationalIntegration.m
RischDE.m
SymbolicIntBook.m
Our Mathematica version of pmint and Manuel Bronstein's original pmint are the main focus of this
article
of R. Kragler.
Mathematica Notebook
SymbolicIntBook.nb
k-regularity of sequences
The following software was written by
Eric S. Rowland
. It accopanies the article
p-regularity of the p-adic valuation of the Fibonacci sequence
as well as other articles written by Eric.
Mathematica Package
RegularSequences.m
(by
Eric S. Rowland
)
Trees for the p-adic valuation of Stirling numbers (second kind)
This software accompanies the article
The p-adic valuation of Stirling numbers
by Ana Berrizbeitia,
Luis A. Medina
, Alexander C. Moll,
Victor H. Moll
, and Laine Noble.
Mathematica Package
StirlingTrees.m
(with Laine Noble)
To stop or not to stop?
These softwares accompany the article
An Experimental Mathematics Perspective on the Old, and still Open, Question of When To Stop?
by
Luis A. Medina
and
Doron Zeilberger
.
Maple programs
ChowRobbins
(with
Doron Zeilberger
)
STADJE
(by
Doron Zeilberger
)
WALKSab
(by
Doron Zeilberger
)
Mathematica Packages
Builder.m
STADJE.m
(with
Doron Zeilberger
)
Mathematica Notebook
Builder.nb
Rational Landen Transformations
These softwares accompany the article
A fast numerical algorithm for the integration of rational functions
by Dante Manna,
Luis A. Medina
,
Victor H. Moll
, and Armin Straub.
Mathematica Package
Landen.m
(with Dante Manna,
Victor H. Moll
, and Armin Straub)
Mathematica Notebook
examples.m
(by Armin Straub)
Trees for the p-adic valuation of Eulerian numbers
This software accompanies the article
The p-adic valuation of Eulerian numbers: trees and Bernoulli numbers
by Francis N. Castro, Oscar Gonzalez, and
Luis A. Medina
Mathematica Package
EulerianTrees.m
Mathematica Notebook
EulerianTreesNoteBook.m
Luis A. Medina's homepage