Book contents
- Frontmatter
- Contents
- Foreword
- Preface
- 1 Preliminaries
- 2 Orthogonal Polynomials
- 3 Differential Equations, Discriminants and Electrostatics
- 4 Jacobi Polynomials
- 5 Some Inverse Problems
- 6 Discrete Orthogonal Polynomials
- 7 Zeros and Inequalities
- 8 Polynomials Orthogonal on the Unit Circle
- 9 Linearization, Connections and Integral Representations
- 10 The Sheffer Classification
- 11 q-Series Preliminaries
- 12 q-Summation Theorems
- 13 Some q-Orthogonal Polynomials
- 14 Exponential and q-Bessel Functions
- 15 The Askey–Wilson Polynomials
- 16 The Askey–Wilson Operators
- 17 q-Hermite Polynomials on the Unit Circle
- 18 Discrete q-Orthogonal Polynomials
- 19 Fractional and q-Fractional Calculus
- 20 Polynomial Solutions to Functional Equations
- 21 Some Indeterminate Moment Problems
- 22 The Riemann-Hilbert Problem for Orthogonal Polynomials
- 23 Multiple Orthogonal Polynomials
- 24 Research Problems
- Bibliography
- Index
- Author index
15 - The Askey–Wilson Polynomials
Published online by Cambridge University Press: 05 May 2013
Book contents
- Frontmatter
- Contents
- Foreword
- Preface
- 1 Preliminaries
- 2 Orthogonal Polynomials
- 3 Differential Equations, Discriminants and Electrostatics
- 4 Jacobi Polynomials
- 5 Some Inverse Problems
- 6 Discrete Orthogonal Polynomials
- 7 Zeros and Inequalities
- 8 Polynomials Orthogonal on the Unit Circle
- 9 Linearization, Connections and Integral Representations
- 10 The Sheffer Classification
- 11 q-Series Preliminaries
- 12 q-Summation Theorems
- 13 Some q-Orthogonal Polynomials
- 14 Exponential and q-Bessel Functions
- 15 The Askey–Wilson Polynomials
- 16 The Askey–Wilson Operators
- 17 q-Hermite Polynomials on the Unit Circle
- 18 Discrete q-Orthogonal Polynomials
- 19 Fractional and q-Fractional Calculus
- 20 Polynomial Solutions to Functional Equations
- 21 Some Indeterminate Moment Problems
- 22 The Riemann-Hilbert Problem for Orthogonal Polynomials
- 23 Multiple Orthogonal Polynomials
- 24 Research Problems
- Bibliography
- Index
- Author index
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Classical and Quantum Orthogonal Polynomials in One Variable , pp. 378 - 425Publisher: Cambridge University PressPrint publication year: 2005