CURRICULUM VITAE

**Citizenship:**
Russia, US Permanent Resident
**Address:
**Department of Mathematics, Arizona
State University,

Tempe, Arizona
85287-1804, U.S.A.
**Phone:
**(480) 965-8987
**Fax:
**(480) 965-8119
**E-mail:
***sks@asu.edu*
**URL:
**http://hahn.la.asu.edu/~suslov/index.html
**Languages:
**Russian, English
**Current position:
**Associate Professor

Department
of Mathematics

Arizona
State University

**Education:
**Ph. D. 1986 (Kurchatov Institute of Atomic
Energy

(Supervisor - Professor Ya. A. Smorodinskii);

M. Sc. 1980 (Moscow Institute of Physics
and Technology)

**Professional employment**:

**1980-1986 ** Junior
research scientist (equivalent to assistant professor)

Department of Molecular
Physics

Kurchatov Institute of Atomic Energy,
Moscow, Russia;

**1986-1997** Senior
research scientist (equivalent to associate professor)

Laboratory for Mathematical Problems of Physics

Institute of Molecular
Physics, RRC "Kurchatov Institute"

Moscow, Russia;

**1997-1998** Senior
Lecturer, Department
of Mathematics

Arizona State University, Tempe,
USA

**1998-1999** Visiting
Associate Professor, Department
of Mathematics

Arizona State University, Tempe,
USA

**1999- 2001** Assistant Professor,Department
of Mathematics

Arizona State University, Tempe,
USA
**
2001- **
Associate Professor, Department
of Mathematics

Arizona State University, Tempe,
USA.

**Visiting positions:**

**1991, September-November:** Visiting professor, University of
South Florida, Tampa

**1992, January-April: ** Research associate, Carleton University,
Ottawa

**1993, January-May:** Research associate, Carleton University,
Ottawa

**1994-1995, October-May:** Visiting professor, Carleton
University, Ottawa

**1995, June-August:** Visiting professor, University of Toronto

**1995, August-December:** Visiting professor, University of South
Florida, Tampa

**1996-1997, January-May: **Visiting professor, Aizona State University,
Tempe

**1997, June-July:** Visiting professor, Mathematical Sciences
Research Institute, Berkeley, California

**Research interests**: Classical
analysis and approximation theory, orthogonal polynomials and *q*-special
functions, theory of group representations, integral transformations and
their applications in theoretical and mathematical physics; computer algebra
and special functions.

*(A)
Publications in refereed journals**(B)
Conference proceedings**(C)
Review articles**(D)
Books**(E)
Translations**(F)
Submitted articles**(G)
Papers under preparetion**(H)
Webpages design*

**MathSciNet
Mathematical
Reviews on the Web: Items Autored by Suslov, S. K.**

1. *The
Clebsch-Gordan coefficients of the group SU(2) and Hahn polynomials, *joint
with Ya. A. Smorodinskii, Soviet J. Nuclear Phys. **35** (1982)#1, 108-113.

2. *Matrix
elements of Lorentz boosts and the orthogonality of Hahn polynomials on
a contour*, Soviet J. Nuclear Phys. **36** (1982)#4, 621-622.

3. *6j-symbols
and orthogonal polynomials*, joint with Ya.
A. Smorodinskii, Soviet J. Nuclear Phys. **36** (1982) #4, 623-625.

4. *Rodrigues
formula for the Racah coefficients*, Soviet J. Nuclear Phys. **37**
(1983) #3, 472-473.

5. *The
9j-symbols as orthogonal polynomials in two discrete variables*, Soviet
J. Nuclear Phys. **38** (1983) #4, 662-663.

6. *The
T-coefficients of the "tree" method as orthogonal polynomials of a discrete
variable*, Soviet J. Nuclear
Phys. ** 38** (1983)
#5, 829-834.

7. *The
Hahn polynomials in the Coulomb problem*, Soviet J. Nuclear
Phys. **40** (1984) #1, 79-82.

8. *Clebsch-Gordan
coefficients and Racah coefficients for the SU(2) and SU(1,1) groupsas
the discrete analogues of the Poschl-Teller potential wave functions*,
joint with Yu. F. Smirnov and A. M. Shirokov, J. Phys. **A17** (1984)
#11, 2157-2175.

9. *Classical
orthogonal polynomials of a discrete variable and representations of the
three-dimensional rotation group*, joint with A.
F. Nikiforov and V. B. Uvarov, Functional Anal. Appl. **19**(1985),
182-193.

10. *The Hahn
and Meixner polynomials of an imaginary argument** and
some of their applications,* joint
with N. M. Atakishiyev, J. Phys. **A18** (1985) #10, 1583-1596.

11. *Classical
orthogonal polynomials of a discrete variable on nonuniform lattices*,
joint with A. F. Nikiforov, Lett. Math. Phys. **11**
(1986) #1, 27-34.

12. *Classical
orthogonal polynomials of a discrete variable continuous orthogonality
relations*, Lett. Math. Phys. **14** (1987)#1, 77-88.

13. *Classical
orthogonal polynomials in a discrete variable on nonuniform lattices, *joint
with A. F. Nikiforov and V. B. Uvarov, Soviet Math. Dokl. **34 **(1987)
#3, 576-579.

14. A*bout
one class of special functions*, joint with N.
M. Atakishiyev, Rev. Mexicana Fis. **34** (1988) #2, 152-167.

15. *On the
moments of classical and related polynomials*, joint with
N. M. Atakishiyev, Rev. Mexicana Fis. **34**
(1988) #2, 147-157.

16. *Continuous
orthogonality property for some* *classical
polynomials of a discrete variable*,joint with N. M. Atakishiyev, Rev.
Mexicana Fis. **34** (1988) #4, 541-563.

17. *Difference
analogues of the harmonic oscillator*, joint with
N. M.Atakishiyev, Theoret. and Math. Phys. **85** (1990) #1, 1055-1062.

18. *A realization
of the q-harmonic oscillator*, joint with N.M.
Atakishiyev, Theoret. and Math. Phys. **87** (1991)
#1, 442-444.

19. *On the
theory of 9j-symbols*, Theoret. and Math. Phys. **88
**(1991)
#1, 720-724.

20. *On the
Askey-Wilson polynomials*, joint with N.
M. Atakishiyev, Constractive Approximation **8** (1992), 363-369.

21. *The q-harmonic
oscillator and an analogue of the Charlier polynomials*, joint with
R. Askey, J. Phys. **A26 **(1993), L693-L698.

22. *The q-harmonic
oscillator and the Al-Salam and Carlitz polynomials*, joint with R.
Askey, Lett. Math. Phys.
**29**
(1993) #2, 123-132.

23. *The Clebsch-Gordan
coefficients for quantum algebra** SUq(2)*,
joint with N. M. Atakishiyev, Theoret. and Math. Phys. **98** (1994)
#1, 3-11.

24. *The Pearson
equation and the beta integrals*, joint with M.
Rahman, SIAM J. Math. Anal. **25** (1994) #2, 646-693.

25. *Barnes
and Ramanujan-type integrals on the q-linear lattice*, joint with M.
Rahman, SIAM J. Math. Anal. **25 **(1994) #3, 1002-1022.

26. *On a general
q-Fourier transformation with nonsymmetric kernels*, joint with R. Askey
and M. Rahman, Journal of Computational and Applied Mathematics **68**
(1996),25-55.

27. *A unified
approach to the summation and integration formulas for q-hypergeometric
functions, I*, joint
with M. Rahman, Journal of Statistical Planning and Inference
**54**
(1996), 101-118.

28. *Some summation
theorems and transformations for q-series*, joint with M. E. H. Ismail
and M. Rahman, Canad. J. Math. **49** (1997), 543-567.

29. *"Addition"
theorems for some q-exponential and q-trigonometric functions*, Methods
and Applications of Analysis **4** (1997), 11-32.

30. *Some orthogonal
very-well-posed 8phi7-functions*, J. Phys. A: Math. Gen. **30** (1997),
5877-5885.

31. *Basic
analog of Fourier series on a q-quadratic grid*, joint
with J. Bustoz, Methods and Applications of Analysis **5** (1998)
#1, 1-38.

32. *Multiparameter
Ramanujan-type q-beta integrals*, The Ramanujan Journal **2** (1998)
#3, 351-369.

33. *A unified
approach to the summation and integration formulas for q-hypergeometric
functions. II*, joint with M. Rahman, Methods and Applicationsof Analysis
**5**
(1998) #4, 399-412.

34. *A unified
approach to the summation and integration formulas for q-hypergeometric
functions. III*, joint with M. Rahman, Methods and Applicationsof Analysis
**5**
(1998) #4, 413-424.

35. *Another
addition theorem for the q-exponential function*, J. Phys. A: Math.
Gen. **33** (2000) L375-L380.

1. *Classical
orthogonal polynomials of a discrete variable in the theory of group representations*,joint
with A. F. Nikiforov and V. B. Uvarov, in: Group Theoretical Methods in
Physics, Vol. 1-3 (Zvenigorod,1982), Harwood Acad. Publ., Chur, 1985, pp.
87-96.

2. *Classical
orthogonal polynomials of a discrete variable on nonuniform lattices*,
joint with A. F. Nikiforov,
in: GroupTheoretical Methods in Physics, Vol.1 (Yurmala, 1985), VNU Sci.
Press, Utrecht, 1986, pp. 505-511.

3. *Representations
of SO(3,1) and the Hahn polynomials*, joint
with N. M. Atakishiyev, in: Group Theoretical Methods in Physics, Vol.
1 (Yurmala, 1985), VNU Sci. Press, Utrecht, 1986,pp. 523-530.

4. *The
Charm polynomials*, joint with N. M. Atakishiyev and G.
I. Kuznetsov, in: Proceedings of the Third International Symposium on Orthogonal
Polynomials and Their Applications(Brezinski et al., eds.), J. C. Baltzer
A. G., Basel, Switzerland, 1991, pp.
15-16.

5. *Classical
biorthogonal rational functions*, joint with M.
Rahman, in: Methods of Approximation Theory in
Complex Analysis and Mathematical Physics (A. A. Gonchar and E. B. Saff,
eds.),Lecture Notes in Math. Vol. 1550, Springer-Verlag, 1993, pp. 131-146.

6. *An
analog of the Fourier transformation for a q-harmonic oscillator*, joint
with R. Askey and N. M. Atakishiyev, in:
Symmetries in Science VI (B. Gruber, ed.), Plenum Press, New York, 1993,
pp. 57-63; Preprint IAE-5611/1, Kurchatov Institute, Moscow 1993.

7. *Singular
analogue of the Fourier transformation for** the
Askey-Wilson polynomials*,
joint with M. Rahman, in: Symmetries
and Integrability of Difference Equations (D. Levi, L. Vinet, and
P. Winternitz, eds.),CRM Proceedings
& Lecture Notes, Vol. 9, American Math. Society, 1996, pp. 289-302.

8. *Some
generating functions for q-polynomials*, joint
with M. Ismail and D. Masson, in: Special Functions, *q*-Series
and Related Topics (M. E. H. Ismail, D. R. Masson, and M. Rahman,
eds.), Fields Institute Communications,
Vol. 14, American Math. Society,
1997, pp. 91-108.

9. *The
q-Bessel functions on a q-quadratic grid,* joint
with M. E. H. Ismail and D. Masson, in: Algebraic Methods and *q*-Special
Functions (J. F. van Diejen and L. Vinet, eds.), CRM
Proceedings & Lecture Notes, Vol. 22, American Math. Society, 1999,
pp. 183-200.

10. *Numerical
investigation of basic Fourier series,* joint with R. Wm. Gosper, in:
*q*-Series
from a Contemporary Rerspective (M.
E. H. Ismail and D. W. Stanton, eds.),
Contemporary Mathematics, Vol. 254, American Math. Soc; 2000, pp. 199-227.

1. *On
the theory of difference analogues of special functions ofhypergeometric
type*, Russian Math. Surveys **44** (1989) #2, 227-278, London Math.
Soc.

2. *Difference
hypergeometric functions,* joint with N.
M. Atakishiyev, in: Progress in Approximation Theory: An
International Perspective (A. A. Gonchar and E. B. Saff, eds.), Springer
Series in Computational Mathematics, Vol. 19, Springer-Verlag, 1992, pp.
1-35.

3. *On the
classical orthogonal polynomials*, joint with N.
M. Atakishiyev and M. Rahman, Constructive Approximation **11** (1995)
#2, 181-226.

1. *Classical
Orthogonal Polynomials of a Discrete Variable *[in Russian], joint with
A. F. Nikiforov and V. B. Uvarov, Nauka,
Moscow, 1985; English translation in Springer Series in Computational Physics,Springer-Verlag,
1991.

1. Askey,
R. *Ramanujan and hypergeometric and basic** hypergeometric
series [*in Russian],translated
from English with remark by N. M. Atakishiyev and S. K. Suslov, Uspekhi
Mat. Nauk **45** (1990) #1, 33-76; Russian Math. Surveys **45** (1990)#1,
37-86, London Math. Soc.

2. Gasper,
G. and Rahman, M. *Basic Hypergeometric Series *[in Russian], translated
from English by N. M. Atakishiyev
and S. K. Suslov, Mir, Moscow, 1993.

1. *Some
expansions in basic Fourier series and related topics*, 47 latex pp.,
submitted to The Journal of Approximation Theory.

2. S*ome
orthogonal very-well-poised 8phi7-functions
that generalize Askey-Wilson polynomials*,
31 latex pp., to appear in the Ramanujan Journal.

3. *Asymptotics
of zeros of basic sine and cosine functions*, 15 latex pp., submitted
to Constructive Approximation.

4. *Basic
exponential functions on a q-quadratic grid*, 41 latex pp., to
appear.

5. *Basic
Fourier series and q-Euler polynomials*, 21 latex pp., submitted
to The Ramanujan Journal.

6. *Completeness
of basic trigonometric system in L^p*, 16 latex pp., submitted.

7. *A
note on completeness of basic trigonometric system in L^2*, 10
latex pp., submitted to Rocky Mountain Journal of Mathematics.

1.
*Askey-Wilson
type operators and their inverses I-III*, joint with M. E. H. Ismail
and M. Rahman.

2.
*An
Introduction to Special Functions*, 33 latex pages.

3.
*Note
on a q-Bessel function*.

** **1.

2. The NATO Advanced Study Instituite: Special Functions 2000. http://math.la.asu.edu/~sf2000/index.html

Canadian Journal of Mathematics, Journal of Approximation Theory, Journal
of Computational and Applied Mathematics, Journal of Mathematical Analysis
and Applications, Journal of
Physics A: Mathematical and General, Methods and Applications of Analysis,
Transactions of the American Mathematical Society, Soviet Journalof Nuclear
Physics, Theoretical and Mathematical
Physics, Russian Mathematical Surveys, Communications
in Mathematical Physics.

International Science Foundation, National Science Foundation, Natural
Sciences and Engineering Research
Council of Canada.

A member of the organizing committee for the two-week mini program and
workshop in Special Functions, *q*-Series and Related Topics at The
Fields Institute, University of Toronto, June 1995.

A member of the Calculus/Engineering Liaison Committee and the Web Committee, Department of Mathematics, Arizona State University, 1998-99 academic year.

A member of the Calculus/Engineering Liaison Committee and Lecturers Evaluation Committee, Department of Mathematics, Arizona State University, 1999-2000 academic year.

NATO-country co-director
of the Advanced Study
Instituite "Special Functions 2000", Arizona State University, Tempe,
May 29 - June 9, 2000.

1. International
Conference on Approximation Theory,

Tampa, Florida, March 1990, 45
minutes.

2. The
Third International Symposium on Orthogonal Polynomials and
their Applications,

Erice, Italy, June 1990, 45 minutes.

3. International
seminars "Methods of Approximation Theory in Complex
Analysis

and Mathematical Physics",

Leningrad, May 1991, 45 minutes.

4. International
workshop "Symmetry Methods in Physics"

(in memory of professor Ya. A. Smorodinsky),

Dubna, Russia, July 1993, 35 minutes.

5. Workshop
on Symmetries and Integrability of Difference Equations,

Esterel, Quebec, May 1994, 45 minutes.

6. Workshop
in Special Functions, *q*-Series and Related Topics
at The Fields Institute,

University of Toronto, June 1995,
60 minutes.

7. Workshop
on Algebraic Methods and *q*-Special Functions,

CRM,
Montreal, May 1996, 60 minutes.

8. Department
of Mathematics, Arizona State University,

Tempe, Arizona, July-August 1996,

21 lectures on orthogonal polynomials, *q*-series, and their applications.

9. PhD
Centennial Conference, Department
of Mathematics,

University of Wisconsin-Madison, May 1997, 30 minutes.

10. A Joint Summer Research Conference: *q*-Series,
Combinatorics and Computer Algebra,

Mount Holyoke College,
South Hadley, Massachusetts, June 1998, 30 minutes.

11. A Minisymposium "Orthogonal Polynomials; Theory and
Applications",

SIAM Annual Meeting
in Atlanta, May 1999, 30 minutes.

12. International
Workshop on Special Functions, Asymptotics, Harmonic Analysis,

and
Mathematical Physics, City Iniversity of Hong Kong, June 21-25 1999,

30 minutes.

13. Conference
on Symbolic Computation, Number Theory, Special Functions,

Physics,
and Combinatorics, University of Florida, Gainesville,

November 11-13, 1999,
60
minutes.

14. NATO
Advanced Study Instituite "Special Functions 2000", Arizona State University,

Tempe, May 29 - June
9, 2000, 60 minutes.

15. *q*-Series with Applications to Combinatorics,
Number Theory and Physics, University of Illinois at

Urbana-Champaign,
October 26-28, 2000, 30 minutes.

16. Sixth
International Symposium on Orthogonal Polynomials, Special Functions and
Applications,

Roma, Italy,
June 18-22, 2001, 60 minutes.

17. Colloquium talks
at several universities.

The American Mathematical Society and the Society for Industrial and Applied Mathematics.

1985
First Kurchatov Award to the Young Scientist, Kurchatov
Institute, Moscow.

1994-1995 Foreign Researcher Award of Natural
Sciences and Engineering Research Council of Canada.

1996-1997 General Membership at Mathematical
Sciences Research Institute in Berkeley (California).

1998
Governor's Award for Excellence, State of Arizona. (First Year Mathematics)

1995-1996 International Science Foundation Long-Term Research Grant.

1998-2001 National
Science Foundation Research Grant in the Analysis Program, a continuing
three-year grant in the amount of $140,521.00 including support for a graduate
student.

1999-2000 NATO Advanced
Study Institute "Special Functions 2000", NATO-country co-director.

2000 National
Science Foundation Conference Grant "Special Functions 2000: Current Perspective
and Future Directions", PI; Joaquin Bustoz and Mourad Ismail co-PIs.

**Fall
1995 ** *University
of South Florida:*

Brief Calculus I,

Applied Finite Mathematics;

**Spring
1996 ** *Arizona
State University:*

MAT 272, Calculus III;

MAT 362, Advanced Engineering
Mathematics;

**Summer
1996 Arizona State
University:**

MAT 210, Brief Calculus; two summer sessions;

MAT 272, Calculus III;

MAT 271, Calculus II;

MAT 210, Brief Calculus; one summer session;

MAT 271, Calculus II;

MAT 242, Elementary Linear Algebra;

MAT 342, Linear Algebra;

MAT 342, Linear Algebra,

MAT 362, Advanced Engineering Mathematics;

PHY 121/122, University Physics I, 8 week session.

MAT 370, Intermediate Calculus,

MAT 461, Applied Complex Analysis;

MAT 342, Linear Algebra,

MAT 494, Mathematics of Quantum Mechanics

MAT 271, Calculus II, 8 week session,

MAT 242, Elementary Linear Algebra,

MAT 270, Calculus I,

MAT 494, Mathematics of Quantum Mechanics.

PHY 121/122, University Physics I, 8 week session.