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math-phNov 1, 2007
33
citations (OpenAlex)
authors
  • Yang Chen
  • Mourad E. H. Ismail
institutions
  • Imperial College London
  • University of Central Florida
arXiv abstractPDF
paper

Ladder Operators for q-orthogonal Polynomials

arXiv:0711.2454 · doi:10.1016/j.jmaa.2008.03.031

Abstract

The q-difference analog of the classical ladder operators is derived for those orthogonal polynomials arising from a class of indeterminate moments problem.

15 pages, typos corrected

Cited by in corpus (12)

  • Perturbed Hankel determinant, correlation functions and Painlevé equations
  • Variations of Stieltjes-Wigert and q-Laguerre polynomials and their recurrence coefficients
  • Semi-classical Orthogonal Polynomial Systems on Non-uniform Lattices, Deformations of the Askey Table and Analogs of Isomonodromy
  • Ladder operators and differential equations for multiple orthogonal polynomials
  • PDEs satisfied by extreme eigenvalues distributions of GUE and LUE
  • On a class of q-orthogonal polynomials and the q-Riemann Hilbert Problem
  • Connection preserving deformations and q-semi-classical orthogonal polynomials
  • Ladder operators and a second--order difference equation for general discrete Sobolev orthogonal polynomials
  • A study of the associated linear problem for q-PV​
  • A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials
  • Non linear difference equations arising from a deformation of the q-Laguerre weight
  • Anatomy of a q-generalization of the Laguerre/Hermite Orthogonal Polynomials
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