 It
always helps to have some results when trying to push a Ph.D. thesis past
a university committee. With this in mind, I am very pleased to announce
the availability of
on my Planet Quantum web site.
I created these formulas using my computer algebra system Quantum.
My ISSAC 96 algorithm played a big
role.
I used symbolic linear algebra, multivariate polynomial factorization,
multivariate polynomial gcd, partial fraction decomposition, high precision
numerical evaluation, special functions, integration, differentiation,
integer factorization, the LLL algorithm, Simon Plouffe et. al.'s Inverse
Symbolic Calculator, Neil Sloane's On-Line
Encyclopedia of Integer Sequences, and many books and references including
the indispensable and legendary book Prudnikov, A. P., Brychkov, Yu. A.,
Marichev, O. I. (1990), Integrals and Series, Volume 3: More Special
Functions, Gordon and Breach Science Publishers.
The online publication of the formulas was also quite a chore. I used
TeX, dvipng, optipng, Dreamweaver, and a lot of specialized custom code
which I implemented in my Quantum
language which allowed me to automate the process as much as possible.
I had to switch ISP's and learn how to configure accounts, FTP, and Apache
on a FreeBSD virtual server.
Where do I go from here? The next step in my plan is the online publication
of
 100,000+
INTEGRALS
I have a lot of Risch, MeijerG infrastructure in place and working. A
large online integral table would be a great online resource and a powerful
demonstration of my work. Therefore, 100,000+ INTEGRALS is my exciting
next goal to accomplish.
I thank all my supporters for their patience while I completed my 100,000+
hypergeometric formulas project. There is much more excitement ahead and
I promise to chat with you again.
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