Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Freud weights and discrete Painlevé I
- 3 Discrete Painlevé II
- 4 Ladder operators
- 5 Other semi-classical orthogonal polynomials
- 6 Special solutions of Painlevé equations
- 7 Asymptotic behavior of orthogonal polynomials near critical points
- Appendix Solutions to the exercises
- References
- Index
4 - Ladder operators
Published online by Cambridge University Press: 08 December 2017
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Freud weights and discrete Painlevé I
- 3 Discrete Painlevé II
- 4 Ladder operators
- 5 Other semi-classical orthogonal polynomials
- 6 Special solutions of Painlevé equations
- 7 Asymptotic behavior of orthogonal polynomials near critical points
- Appendix Solutions to the exercises
- References
- Index
Summary
- Type
- Chapter
- Information
- Orthogonal Polynomials and Painlevé Equations , pp. 50 - 63Publisher: Cambridge University PressPrint publication year: 2017