Properties of the Exceptional (X_l) Laguerre and Jacobi Polynomials

Properties of the Exceptional (X_l) Laguerre and Jacobi Polynomials

We present various results on the properties of the four infinite sets of the exceptional X_l polynomials discovered recently by Odake and Sasaki [Phys. Lett. B 679 (2009), 414-417; Phys. Lett. B 684 (2010), 173-176]. These Xl polynomials are global solutions of second order Fuchsian differential eq...

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Bibliographic Details
Main Authors: Choon-Lin Ho, Satoru Odake, Ryu Sasaki
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
exceptional orthogonal polynomials
Gram-Schmidt process
Rodrigues formulas
generating functions
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.107

Internet

http://dx.doi.org/10.3842/SIGMA.2011.107

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