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Properties of the Exceptional (X<sub>l</sub>) Laguerre and Jacobi Polynomials

Properties of the Exceptional (X<sub>l</sub>) Laguerre and Jacobi Polynomials

We present various results on the properties of the four infinite sets of the exceptional X polynomials discovered recently by Odake and Sasaki [Phys.Lett.B 679 (2009), 414-417; Phys.Lett.B 684 (2010), 173-176].These X polynomials are global solutions of second order Fuchsian differential equations with + 3 regular singularities and their confluent …