The exceptional Bessel polynomials

DOI10.1080/10652469.2013.876020zbMath1292.33008OpenAlexW2052165339MaRDI QIDQ5404155

S. Chneguir, Atia, Mohamed Jalel

Publication date: 21 March 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.876020

zbMATH Keywords

orthogonal polynomialsSturm-Liouville problemBessel polynomialsCarlitz formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

• A conjecture on exceptional orthogonal polynomials
• Two-step Darboux transformations and exceptional Laguerre polynomials
• A note on the Bessel polynomials
• An extension of Bochner's problem: exceptional invariant subspaces
• An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
• Solvable rational extensions of the Morse and Kepler-Coulomb potentials
• Exceptional orthogonal polynomials and the Darboux transformation