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NATO Advanced Study Institute
Perspective and Future Directions
Arizona State University, Tempe,
May 29 to June 9, 2000
This page is maintained by Sergei
Objective of the ASI: to
summarize results in special functions and their diverse applications obtained
over the last three decades and to discuss future directions. The
Advanced Study Institute aims to bring together researchers in all main
areas of special functions and applications to present recent developments
in the theory, review the accomplishments in the past decades, and chart
directions for research in the new millennium.
Topics: Orthogonal polynomials and
special functions in one and several variables, asymptotics, continued
fractions, applications to number theory, combinatorics and mathematical
physics, integrable systems, harmonic analysis and quantum groups, Painleve
classification, and others.
Dates and location: The Advanced Study
Institute will be held on the campus of the Arizona State University. Lectures
will begin at 8:00 am on Monday, May 29, 2000, and end at approximately
3 pm on Friday, June 9, 2000. Participants would normally arrive on Sunday,
May 28, and depart the Saturday, June 10. View
Plenary and Special Invited Lecturers:
Plenary talks will be given by G.
Andrews, R. Askey,
Berndt, P. Deift,
Ismail, A. Kitaev,
Milne, O. Njastad,
Stanton, J. Stokman,
Vinet, R. Wong,
and A. Zhedanov.
The plenary talks will be in the form of broadly accessible survey lectures
or series of such lectures. The plenary talks will be given in the mornings.
schedule of the plenary talks.
Computer Algebra Systems and Special Functions
on the Web: There will be a special presentation
and tutorial on Special Functions
in Mathematica 4.0 by O.
Marichev and M.
Trott (Mathematica, Wolfram Research).
C. Krattenthaler will demonstrate his Mathematica packages HYP
and HYPQ. D. Lozier will give a talk on
the project Digital Library
of Mathematical Functions: A New Web-based Compendium on Special Functions.
Invited Talks: Some people have been
invited to give one hour or 30 minute talks on a conference on special
functions and their applications which will run concurrently with the NATO
ASI. Invited one hour talks will be given by A.
Garsia, L. Haine,
Leites, M. Noumi,
Van Assche, and J.
Wimp. View schedule
of the invited one hour talks. 30 minutes talks will take place in
the afternoons in two or three parallel sessions. View
list of confirmed participants. View
schedule of 30 minutes talks.
Contributed Talks: We can accommodate
a limited number of contributed talks of 30 minutes length on a conference
on special functions and their applications which will run concurrently
with the NATO ASI. To request a slot for a contributed talk, please submit
an abstract following the application
procedures below. View
schedule of 30 minutes talks.
Future Directions and Open Problem
Session: There will be a discussion of
future directions and an open problem session on Friday, June 9. Everybody
is welcome to participate. Please contact Dick Askey email@example.com
with your proposals if you would like to take part in this program. As
a result of this discussion we are planning to submit
somewhere an article about future directions of the subject written by
a team of authors.
and special invited lectures of the
Advanced Study Institute "Special Functions 2000: Current Perspective
and Future Directions" will be published as a book in the NATO
Science Series by Kluwer
Academic Publishers. The deadline for submission of detailed abstracts
of plenary or special invited talks is May
15, 2000. The final version of the
manuscript should be submitted by August
1, 2000. Please make special arrangements
with Sergei Suslov as soon as possible if you need more time. Kluwer Book
Stylefiles/Templates can be found at http://kapis.www.wkap.nl/kaphtml.htm/BOOKSTYLES.
All one hour invited speakers on
the conference on special functions and their applications which will run
concurrently with the NATO ASI will be invited to
submit a paper, based on their talk at the conference, for the conference
proceedings. Procedures for submitting a paper for these proceedings,
a deadline for submission, and a publisher have not yet been finalized
and will be announced later.
Revised May 18, 2000