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Schedule of the Plenary and Special
Invited Lectures on the NATO Advanced Study Institute Special
Functions 2000: Current Perspective and Future Directions
Arizona State University, Tempe,
Arizona, USA
May 29  June 9, 2000
Dates:
[Monday, May 29  Tuesday, May 30
 Wednesday, May 31  Thursday, June 1
 Friday, June 2]
[Monday, June 5  Tuesday, June 6
 Wednesday, June 7  Thursday, June
8  Friday, June 9]
Speakers:
Andrews, Askey, Berndt,
Deift,
Dunkl,
Garsia,
Gessel*,
Grünbaum,
Haine,
Ismail,
Kitaev,
Koelink,
Koornwinder,
Krattenthaler,
Leites,
Littlejohn*,
Lozier*,
Marichev*,
Milne,
Njåstad,
Noumi,
Olshanski,
Ono,
Paule*,
Rahman,
Riese*,
Rosengren,
Ruijsenaars,
Spiridonov,
Stanton,
Stokman,
Suslov,
Terwilliger,
Tolstoy,
Trott*,
Van
Assche, Vinet,
Wimp,
Wong,
Zhedanov
*MiniProgram: Computer Algebra and Special
Functions on the Web
Monday, May 29
a.m 
7:008:30 
Registration 


8:308:40 
Bustoz 
Opening remarks 

8:408:50 
University representative 
Opening remarks 

8:509:00 
From the organizing committee 
Opening remarks 

9:009:50 
Askey 
The last 100 years of special functions 

9:5510:20 
Coffee Break 


10:2511:15 
Ismail 
The AskeyWilson operators and summation theorems 

11:2012:10 
Andrews 
qSeries in the twentieth century 
p.m. 
12:151:40 
Lunch 


1:402:30 
Ono 
The history of the partition function 

2:403:30 
Wong 
Asymptotics I 

3:403:55 
Coffee Break 


4:005:00 
NSF
Conference 
Section I, Section II, and Section III 

5:106:00 
Marichev* 
Mathematica and Special Functions 

6:008:00 
Dinner 


8:008:30 
Trott* 
Mathematica and Special Functions 
*MiniProgram: Computer Algebra and Special
Functions on the Web
Tuesday, May 30
a.m 
8:008:50 
Andrews 
Some recent developments in qseries 

9:009:50 
Ismail 
The Askey  Wilson polynomials 

10:0010:25 
Coffee Break 


10:3011:20 
Ono 
Ramanujan's congruences and modern number theory 

11:3012:20 
Rahman 
The associated classical orthogonal polynomials 
p.m 
12:302:00 
Lunch 


2:002:50 
Wong 
Asymptotics II 

3:003:50 
Stokman 
Koornwinder  Macdonald polynomials 

4:004:15 
Coffee Break 


4:155:05 
Wimp 
Some things we almost know 

5:155:50 
Bustoz 
The Joaquin Bustoz Happy Hour 

6:008:30 
Reception 

Wednesday, May 31
a.m 
8:008:50 
Koornwinder 
Special functions associated with the quantum dynamical YangBaxter
equation 

9:009:50 
Ismail 
Generating functions and connection coefficients 

10:0010:20 
Coffee Break 


10:2011:10 
Stanton 
Combinatorics of orthogonal polynomials I 

11:2012:10 
Berndt 
Flowers which we cannot yet see growing in Ramanujan's garden of hypergeometric
series, elliptic functions, and q's 
p.m 
12:202:15 
Lunch 


2:153:05 
Noumi 
Discrete integrable systems and special polynomials arising from affine
root system 

3:153:45 
NSF
Conference 
Section I, Section II, and Section III 

3:454:00 
Coffee Break 


4:005:00 
NSF
Conference 
Section I, Section II, and Section III 

5:106:00 
Gessel* 
WZ method 

6:008:00 
Dinner 


8:008:30 
Littlejohn* 
The old meets the new: the method of Frobenius and Mathematica 
*MiniProgram: Computer Algebra and Special Functions on the Web
Thursday, June 1
a.m 
8:008:50 
Stanton 
Combinatorics of orthogonal polynomials II 

9:009:50 
Koelink 
The AskeyWilson transform scheme 

10:0010:20 
Coffee Break 


10:3011:20 
Ruijsenaars 
A 'relativistic' hypergeometric function obeying four AskeyWilson
type difference equations 

11:3012:20 
Njastad 
Orthogonal rational functions and continued fractions 
p.m 
12:302:15 
Lunch 


2:153:05 
Garsia 
Some New Methods in the Theory of Symmetric Functions 

3:153:45 
NSF
Conference 
Section I, Section II, and Section III 

3:454:00 
Coffee Break 


4:005:00 
NSF
Conference 
Section I, Section II, and Section III 

5:106:00 
Open Discussions 


6:008:00 
Dinner 


8:008:30 
Riese* 
Symbolic qhypergeometric summation and partition analysis 
*MiniProgram: Computer Algebra and Special
Functions on the Web
Friday, June 2
a.m 
8:008:50 
Koelink 
Special functions and dynamical quantum groups 

9:009:50 
Dunkl 
Orthogonal polynomials of classical type in several variables 

10:0010:20 
Coffee Break 


10:3011:20 
Krattenthaler 
Plane Partitions, Determinants, and Hypergeometric Series 

11:3012:20 
Rahman 
On an inverse of the AskeyWilson operator: the indefinite integral 
p.m 
12:302:15 
Lunch 


2:153:05 
Leites 
Special Lecture in Mathematical Physics: From Supergravity to ball
bearings. Cohomology for physicists and engineers 

3:153:45 
NSF
Conference 
Section I, Section II, and Section III 

3:454:00 
Coffee Break 


4:005:00 
NSF
Conference 
Section I, Section II, and Section III 

5:006:00 
Open Discussions 


6:008:00 
Barbecue 

Monday, June 5
a.m 
8:008:50 
Krattenthaler 
Beyond Plane Partitions: Some Applications of Orthogonal Polynomials
and Multiple Hypergeometric Series 

9:009:50 
Deift 
Riemann  Hilbert problems I 

10:0010:20 
Coffee Break 


10:3011:20 
Vinet 
Advances in multivariable special functions and mathematical physics
I 

11:3012:20 
Dunkl 
Boundedness and summability problems for expansions 
p.m 
12:302:15 
Lunch 


2:153:05 
Van Assche 
Riemann  Hilbert Problems for multiple orthogonal polynomials 

3:153:45 
NSF
Conference 
Section I, Section II, and Section III 

3:454:00 
Coffee Break 


4:005:00 
NSF
Conference 
Section I, Section II, and Section III 

5:106:00 
Lozier* 
A New WebEnabled Database of Special Functions 

6:008:00 
Dinner 


8:008:30 
Tutorial* 
Mathematica and Special Functions 
*MiniProgram: Computer Algebra and Special
Functions on the Web
Tuesday, June 6
a.m 
8:008:50 
Milne 
Transformations of U(n+1) multiple basic hypergeometric series 

9:009:50 
Vinet 
Advances in multivariable special functions and mathematical physics
II 

10:0010:20 
Coffee Break 


10:3011:20 
Deift 
Riemann  Hilbert problems II 

11:3012:20 
Grunbaum 
Some variations on the bispectral problem 
p.m 
12:302:15 
Lunch 


2:153:05 
Olshanski 
Representation theory, Hypergeometric Correlation Kernels, and Random
Matrices 

3:153:45 
NSF
Conference 
Section I, Section II, and Section III 

3:454:00 
Coffee Break 


4:005:00 
NSF
Conference 
Section I, Section II, and Section III 

5:106:00 
Krattenthaler* 
Mathematica packages HYP and HYPQ 

6:008:00 
Dinner 


8:008:50 
Tutorial* 
Mathematica and Special Functions 
*MiniProgram: Computer Algebra and Special
Functions on the Web
Wednesday, June 7
a.m 
8:008:50 
Kitaev 
Special Functions of the Isomonodromy Type. The Painlev\'e Equations.
I 

9:009:50 
Milne 
Infinite families of exact sums of squares formulas, Jacobi elliptic
Functions, continued fractions, and Schur functions 

10:0010:20 
Coffee Break 


10:3011:20 
Tolstoy 
Projection operator method for quantum groups I 

11:3012:20 
Terwilliger 
Tridiagonal pairs 
p.m 
12:302:15 
Lunch 


2:153:05 
Zhedanov 
Generalized eigenvalue problem and a new family of rational functions
biorthogonal on elliptic grids 

3:153:45 
NSF
Conference 
Section I, Section II, and Section III 

3:454:00 
Coffee Break 


4:005:00 
NSF
Conference 
Section I, Section II, and Section III 

5:106:00 
Paule* 
Computer algebra and multiple sums 

7:009:00 
Banquet 

*MiniProgram: Computer Algebra and Special
Functions on the Web
Thursday, June 8
a.m 
8:008:50 
Tolstoy 
Projection operator method for quantum groups II 

9:009:50 
Kitaev 
Special Functions of the Isomonodromy Type. The Painlev\'e Equations.II 

10:0010:20 
Coffee Break 


10:3011:20 
Spiridonov 
The factorization method, selfsimilar potentials and quantum algebras 

11:3012:20 
Suslov 
Basic exponential functions, "addition" theorems, qFourier
series and their extensions 
p.m 
12:302:15 
Lunch 


2:153:05 
Haine 
Krall's Problem: Some New Perspectives 

3:153:45 
NSF
Conference 
Section I, Section II, and Section III 

3:454:00 
Coffee Break 


4:005:00 
NSF
Conference 
Section I, Section II, and Section III 

5:106:00 
Open Discussions 


6:008:00 
Dinner 

Friday, June 9
a.m 
8:008:50 
Rosengren 
The dynamical YangBaxter equation and Wigner 9jsymbols 

9:009:50 
Askey 
Future directions 

10:0010:20 
Coffee Break 


10:3011:20 
TBA 
Future directions 

11:3012:20 
TBA 
Open Problems 
p.m 
12:301:20 
Lunch 


1:303:00 
Open Discussions 


3:006:00 
Open Discussions 


6:008:30 
Dinner 

This page is maintained by Sergei
Suslov
Revised May 20, 2000