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q-Analogues of Freud weights and nonlinear difference equations
Authors:Mourad E.H. Ismail  Z.S.I. Mansour  
Affiliation:a Department of Mathematics, Orlando, FL 32816, USA;b King Saud University, Ryiadh, Saudi Arabia;c Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
Abstract:
Keywords:Orthogonal polynomials   Nonlinear difference equations   q-Analogue of Freud weights and Freud's equations   Discrete Painlevé   property   Plancherel–  Rotach type asymptotics   Bernstein's approximation problem
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