Special Functions and Orthogonal Polynomials
of Lie Groups and their Applications

Děčín, August 14-20, 2011

International conference of the Doppler Institute of the Czech Technical University in Prague
and Institute of Mathematics of National Academy of Sciences of Ukraine

Tentative list of participants, titles and abstracts of the suggested talks:

David Edwin Alvarez-Castillo (Institute of Nuclear Physics PAN, Krakow, Poland)
Perturbed rigid rotator and Romanovski polynomials Abstract

Maia Angelova (Northumbria University, Newcastle, UK)
Algebraic models of anharmonic oscillators Abstract

Lucie Augustovicova (Czech Technical University in Prague, Czech Republic)
Discrete variable representation of quantum problems Abstract

Agata Bezubik (Institute of Mathematics, University of Bialystok, Poland)
On the differential method for determination of the spherical expansion of zonal functions Abstract

Mark Bodner (MIND Research Institute, USA)
Affine reflection groups for tiling applications: knot theory and DNA Abstract

Clemente Cesarano (International Telematic University UNINETTUNO, Rome, Italy)
Two-variable Chebyshev polynomials Abstract

Goce Chadzitaskos (Czech Technical University in Prague, Czech Republic)

Vasek Chvatal (Concordia University, Montreal, Canada)
Betweenness Abstract

Howard Cohl (Information Technology Laboratory, NIST, Gaithersburg, USA)
Radial fundamental solutions of Laplace's equation on spaces of constant curvature Abstract

Kevin Coulembier (Ghent University, Belgium)
Fourier theory on quantum spaces and q-Hankel transform Abstract

Tomasz Czyzycki (Institute of Mathematics, University of Bialystok, Poland)
The Tresse theorem and differential invariants connected with nonlinear Schroedinger equation Abstract

Costas Daskaloyannis (Aristotle University of Thessaloniki, Greece)

Thomas Ernst (Uppsala University, Uppsala, Sweden)
A new type of q-differential geometry Abstract

Avital Frumkin (Tel Aviv University, Israel)
Generalize diagonals products and their moments Abstract

Vincent Genest (Université de Montréal, Canada)

Melita Hadzagic (Université de Montréal, Canada)
On non-crystallographic reflection groups in cryptography Abstract

Lenka Hakova (Université de Montréal, Canada)
Generalized E-orbit functions Abstract

Miloslav Havlicek (Czech Technical University in Prague, Czech Republic)

Jiri Hrivnak (Czech Technical University in Prague, Czech Republic)

Mohammad Hussain (Veer Kunwar Singh University, Ara, Bihar, India)
Lie theory and two variables generalized Hermite polynomials and applications Abstract

Plamen Iliev (Georgia Institute of Technology, Atlanta, USA)
A Lie theoretic interpretation of multivariate hypergeometric polynomials Abstract

Ranjan Kumar Jana (S.V. National Institute of Technology, Surat, Gujarat, India)
On some properties of generalized Bessel functions Abstract

Zdenek Kabat (Czech Technical University in Prague, Czech Republic)
Umbral discretization of quantum systems Abstract

Ondrej Kajinek (Czech Technical University in Prague, Czech Republic)
C–transformation in image processing Abstract

Mohammad Kamarujjama (Aligarh Muslim University, Aligarh, India)
On Certain Integral Transforms and Voigt Functions Abstract

Naseem Ahmad Khan (Gautam Buddh Technical University, Lucknow, India)
Some multiple integrals relation involving general class of polynomials and I-function Abstract

Subuhi Khan (Aligarh Muslim University, Aligarh, India)
Some results involving Hermite-based Appell polynomials Abstract

Arthemy V. Kiselev (J.Bernoulli Institute, University of Groningen, Netherlands)
The integrals of motion for the 2D Toda chains: their nature and their origin. An open problem. Abstract

*Tom H. Koornwinder (University of Amsterdam, Netherlands)

Sushil Kumar (S.V. National Institute of Technology, Surat, Gujarat, India)
Mittag-Leffler functions Abstract

Willard Miller (University of Minnesota, USA)
Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere Abstract

Lenka Motlochova (Université de Montréal, Canada)
New families of Weyl group orbit functions Abstract

Sengul Nalci (Izmir Institute of Technology, Izmir, Turkey)
q-Kampe de Feriet Polynomials applied to nonlinear q-heat and q-Schrodinger equations Abstract

Petr Novotny (Czech Technical University in Prague, Czech Republic)

Urszula Ostaszewska (Institute of Mathematics, University of Bialystok, Poland)
Legendre-Fenchel transform of the spectral exponent of analytic functions of weighted composition operators Abstract

Jiri Patera (Centre de Recherches Mathématiques, Université de Montréal, Canada)
An overview of special functions derived from the characters of compact simple Lie groups Abstract

Kamlesh N. Pathak (S.V. National Institute of Technology, Surat, Gujarat, India)

George Pogosyan (Joint Institute for Nuclear Research, Russia)

Sarah Post (Centre de Recherches Mathématiques, Université de Montréal, Canada)
Quantum Hamiltonian Systems with Reflections Abstract

Severin Posta (Czech Technical University in Prague, Czech Republic)

Nusrat Raza (Aligarh Muslim University, Aligarh, India)
Monomiality principle and Laguerre-Sheffer Family Abstract

Pablo Roman (Katholieke Universiteit Leuven, Belgium)
Matrix Valued Orthogonal Polynomials related to (SU(2) x SU(2),diag) Abstract

Inna Scherbak (School of Mathematical Sciences of Tel Aviv University, Israel)
Wronski-Schubert Calculus Abstract

Ruben Shahbaghyan (Bank of America, Ottawa, Canada)

Ilya Shilin (Moscow Aviation Institute, Russia)
Some integral transforms related to SO(2,1), SO(3,1), SO(2,2), and some formulas involving Legendre or Whittaker functions Abstract

Ajay Kumar Shukla (S.V. National Institute of Technology, Surat, Gujarat, India)
On General Class of Polynomials and their properties Abstract

Marzena Szajewska (Institute of Mathematics, University of Bialystok, Poland)
Discretization of the orbit functions of G₂ Abstract

Agnieszka Tereszkiewicz (Institute of Mathematics, University of Bialystok, Poland)

Jiri Tolar (Czech Technical University in Prague, Czech Republic)
Symmetries of the finite Heisenberg group for composite systems Abstract

Alexander V. Turbiner (Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Mexico)
Quantum E₈ trigonometric system Abstract

Elena Y. Vedmedenko (Institute of Applied Physics, University of Hamburg, Germany)
Vortex and Skyrmion Lattices on Periodic and Aperiodic Tilings Abstract

Luc Vinet (Centre de Recherches Mathématiques, Université de Montréal, Canada)
The theory of Bannai-Ito polynomials Abstract

Apostolos Vourdas (University of Bradford, UK)
Quantum systems with finite Hilbert space Abstract

Ghazala Yasmin (Aligarh Muslim University, Aligarh, India)
Hermite matrix based polynomials of two variables and Lie algebraic techniques Abstract

Hongmei Zhu (York University, Toronto, Canada)
Generalized cosine transforms in image compression Abstract

Miloslav Znojil (Nuclear Physics Institute AS CR, Rez, Czech Republic)
Zeros of classical orthogonal polynomials as eigenvalues of quantum observables Abstract