Exceptional Jacobi polynomials

Abstract

In this paper we present a systematic way to describe exceptional Jacobi polynomials via two partitions. We give the construction of these polynomials and restate the known aspects of these polynomials in terms of their partitions. The aim is to show that the use of partitions is an elegant way to label these polynomials. Moreover, we prove asymptotic results according to the regular and exceptional zeros of these polynomials.

arXiv comment40 pages, 1 figure

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Cited by in corpus (11)

• Exceptional Legendre Polynomials and Confluent Darboux Transformations
• Coefficients of Wronskian Hermite polynomials
• Wronskian Appell Polynomials and Symmetric Functions
• General solution of the exceptional Hermite differential equation and its minimal surface representation
• Multiplication operator and exceptional Jacobi polynomials
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• A note on an asymptotic formula for integrals of products of Jacobi polynomials
• Note on the Equilibrium Measures of Julia sets of Exceptional Jacobi Polynomials