Special Issue on Superintegrability, Exact Solvability, and Special Functions

The Guest Editors for this special issue are

Willard Miller (University of Minnesota, USA)
Sarah Post (Université de Montréal, Canada)
Pavel Winternitz (Université de Montréal, Canada)
Kurt Bernardo Wolf (Universidad Nacional Autónoma de México, México)

The present collection contains papers closely related to the themes of the International Symposium “Superintegrability, Exact Solvability, and Special Functions”, held at Cuernavaca, Mexico, February 20–24, 2012.

The issue contains 20 papers with the total of 313 pages.

We would like to thank all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reports.

Papers in this Issue:

Dynamical Equations, Invariants and Spectrum Generating Algebras of Mechanical Systems with Position-Dependent Mass

Sara Cruz y Cruz and Oscar Rosas-Ortiz
SIGMA 9 (2013), 004, 21 pages   [ abs   pdf ]

From Quantum A_N to E₈ Trigonometric Model: Space-of-Orbits View

Alexander V. Turbiner
SIGMA 9 (2013), 003, 25 pages   [ abs   pdf ]

Separation of Variables and Contractions on Two-Dimensional Hyperboloid

Ernie Kalnins, George S. Pogosyan and Alexander Yakhno
SIGMA 8 (2012), 105, 11 pages   [ abs   pdf ]

Time-Frequency Integrals and the Stationary Phase Method in Problems of Waves Propagation from Moving Sources

Gennadiy Burlak and Vladimir Rabinovich
SIGMA 8 (2012), 096, 21 pages   [ abs   pdf ]

Coherent States for Tremblay-Turbiner-Winternitz Potential

Yusuf Sucu and Nuri Unal
SIGMA 8 (2012), 093,  9 pages   [ abs   pdf ]

Orthogonal Basic Hypergeometric Laurent Polynomials

Mourad E.H. Ismail and Dennis Stanton
SIGMA 8 (2012), 092, 20 pages   [ abs   pdf ]

On Affine Fusion and the Phase Model

Mark A. Walton
SIGMA 8 (2012), 086, 13 pages   [ abs   pdf ]

Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity

Ryu Sasaki and Kouichi Takemura
SIGMA 8 (2012), 085, 18 pages   [ abs   pdf ]

Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators

Alonso Contreras-Astorga, David J. Fernández C. and Javier Negro
SIGMA 8 (2012), 082, 10 pages   [ abs   pdf ]

Definite Integrals using Orthogonality and Integral Transforms

Howard S. Cohl and Hans Volkmer
SIGMA 8 (2012), 077, 10 pages   [ abs   pdf ]

Ladder Operators for Lamé Spheroconal Harmonic Polynomials

Ricardo Méndez-Fragoso and Eugenio Ley-Koo
SIGMA 8 (2012), 074, 16 pages   [ abs   pdf ]

Superintegrable Extensions of Superintegrable Systems

Claudia M. Chanu, Luca Degiovanni and Giovanni Rastelli
SIGMA 8 (2012), 070, 12 pages   [ abs   pdf ]

Complex SUSY Transformations and the Painlevé IV Equation

David Bermúdez
SIGMA 8 (2012), 069, 10 pages   [ abs   pdf ]

A New Class of Solvable Many-Body Problems

Francesco Calogero and Ge Yi
SIGMA 8 (2012), 066, 29 pages   [ abs   pdf ]

Singular Isotonic Oscillator, Supersymmetry and Superintegrability

Ian Marquette
SIGMA 8 (2012), 063, 14 pages   [ abs   pdf ]

Ladder Operators for Quantum Systems Confined by Dihedral Angles

Eugenio Ley-Koo and Guo-Hua Sun
SIGMA 8 (2012), 060, 15 pages   [ abs   pdf ]

Harmonic Oscillator SUSY Partners and Evolution Loops

David J. Fernández
SIGMA 8 (2012), 041, 12 pages   [ abs   pdf ]

Structure Theory for Extended Kepler-Coulomb 3D Classical Superintegrable Systems

Ernie G. Kalnins and Willard Miller Jr.
SIGMA 8 (2012), 034, 25 pages   [ abs   pdf ]

A Top-Down Account of Linear Canonical Transforms

Kurt Bernardo Wolf
SIGMA 8 (2012), 033, 13 pages   [ abs   pdf ]

Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates

Andrey V. Tsiganov
SIGMA 8 (2012), 031,  9 pages   [ abs   pdf ]