Classical and quantum orthogonal polynomials in one variable - Ismail, Mourad, 1944-; Assche, Walter Van (Cambridge : Cambridge University Press, 2005)
Preliminaries -- Orthogonal polynomials -- Differential equations -- Jacobi polynomials -- Some inverse problems -- Discrete orthogonal polynomials -- Zeros and inequalities -- Polynomials orthogonal on the unit circle -- Linearization, connections and integral representations -- The Sheffer classification -- q-series preliminaries -- q-summation theorems -- Some q-orthogonal polynomials -- Exponential and q-Bessel functions -- The Askey-Wilson polynomials -- The Askey-Wilson operators -- q-Hermite polynomials on the unit circle -- Discrete q-orthogonal polynomials -- Fractional and q-fractional calculus -- Polynomial solutions to functional equations -- Some indeterminate moment problems -- The Riemann-Hilbert problem -- Multiple orthogonal polynomials -- Research problems
Includes bibliographical references and index
1
Keywords: Orthogonal polynomials