CRM-ICMAT Workshop on Exceptional Orthogonal polynomials
and exact solutions in Mathematical Physics  

Segovia   

Sep 7th (arrival day) - Sep 12th, 2014   




Poster of Workshop.
Click to download.

Poster






icmat
Instituto de Ciencias Matemáticas
C/ Nicolás Cabrera, 13-15
  Campus Cantoblanco - UAM
  28049 Madrid, Spain
  www.icmat.es
  Telephone: +34 91 2999700

 

Plenary talks (50 min.)

Peter ClarksonSpecial polynomials associated with rational solutions of the Painlevé equations and soliton equations
Antonio J. DuranA bispectral approach to exceptional polynomials
Lance LittlejohnExceptional Orthogonal Polynomials and Spectral Theory
Manuel MañasMultivariate orthogonal polynomials in the real space and Toda type integrable systems
Robert MilsonExceptional orthogonal polynomials: history, current trends, and future directions
Ryu SasakiExceptional and Multi-indexed Orthogonal Polynomials: an Overview
Boris ShapiroAround Bochner-Krall problem
Alexander VeselovMonodromy-free operators: classification and pole configurations
Luc VinetGroup theoretical interpretation of families of discrete multivariate orthogonal polynomials and some applications

 

 

Communications (25 min.)

Mohamed Jalel AttiaThe exceptional Bessel polynomials
Francesco CalogeroSecond-order ODEs featuring many parameters and (possibly only) polynomial solutions
Oleg ChalykhKP hierarchy for a cyclic quiver and generalised Bessel operators
Alfredo Deaño CabreraAsymptotics of orthogonal polynomials with respect to oscillatory weights
Mariano A del OlmoSpecial functions and Lie groups revisited
Vincent GenestMultivariate orthogonal polynomials as overlap coefficients for superintegrable systems
Miguel Angel Gonzalez LeonQuasi-Exact Solvability of Heun and related equations
Yves GrandatiExceptional orthogonal polynomials and generalized Schur polynomials
Corina GrosuProbability distributions connected to exceptional orthogonal polynomials
F. Alberto GrünbaumThe bispectral problem: the good, the bad and the ugly
Choon-Lin HoPrepotential approach to rational extensions of solvable potentials and exceptional orthogonal polynomials
Mahouton Norbert HounkonnouTransformations of degenerate hypergeometric equations into degenerate Heun equations
Constanze LiawType III X_m Laguerre Polynomials and their Spectral Analysis
Runliang LinBinlinear identities for the KP hierarchy with self-consistent sources
Sara LombardoDarboux-Dressing transformations and the search for rogue waves
Hiroshi MikiExceptional Orthogonal Polynomials and Related Stohcastic Process
Satoru OdakeSome Properties of the Multi-indexed Orthogonal Polynomials
Christiane QuesneLadder Operators for Solvable Potentials Connected with Exceptional Orthogonal Polynomials
James SmithThe fifth Painlevé equation and continuous orthogonal polynomials
Anbhu SwaminathanA generalized class of orthogonal polynomials related to Gaussian hypergeometric functions
Kouichi TakemuraMulti-indexed Jacobi polynomials and Maya diagrams
Milos TaterAsymptotic zero distribution of polynomial solutions to degenerate exactly-solvable equations
Satoshi TsujimotoOn the exceptional Bannai-Ito polynomials
Mikhail TyaglovBinomial orthogonal polynomials

 

 

Short talks (5 min.)

Kenier CastilloCo-polynomials on the unit circle
Zakaria El AllaliOn the first eigensurface for the third order spectrum of p-biharmonic operator with weight
Mª Angeles García FerreroOscillation theorems for the Wronskian of an arbitrary sequence of orthogonal polynomials
Stepan MankoEnergy-dependent Schrodinger equations: inverse scattering

 

 

Posters

Carlos Álvarez FernándezOn the Christoffel-Darboux formula for generalized matrix orthogonal polynomials
Branislav DobruckyOn Impulse Switching Functions of Inverters as an Orthogonal System
Abdelhamid GahamiOperational rules for Brenke polynomial sets: Dunkl Appell $d$-orthogonal polynomials as special case
Mohamed GaiedThe d-symmetric classical polynomials
Mª Angeles García FerreroOscillation theorems for the Wronskian of an arbitrary sequence of orthogonal polynomials
Choon-Lin HoGeneralized Rayleigh and Jacobi processes and exceptional orthogonal polynomials
Edmundo J HuertasAnalysis of the symmetrization for multiple orthogonal polynomials
Imed Lamirid-Orthogonality and q-Askey-scheme
Jen-Chi LeeScattering Amplitudes for Multi-indexed Extensions of Solvable Potentials
Mariana MarcokovaRelations Between Classical and Generalized Jacobi Polynomials Orthogonal with Different Weight Functions
Radhouan MbarkiOn Connection Sequence for Equivalent Polynomial Sets

 


 Organizing Committee:

David Gómez-Ullate
ICMAT and Universidad Complutense
Francisco Marcellán
ICMAT and Universidad Carlos III de Madrid
Miguel A. Rodríguez
Universidad Complutense

 Contact:









 


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