Asymptotics of Orthogonal Polynomials and the Painlevé Transcendents
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 12 - Chapter in an edited book (Author)
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Title of host publication | Frontiers in Orthogonal Polynomials and q-Series |
| Editors | M Zuhair Nashed, Xin Li |
| Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Chapter | 10 |
| Pages | 189-212 |
| ISBN (electronic) | 978-981-3228-89-4, 978-981-3228-88-7 |
| ISBN (print) | 978-981-3228-87-0 |
| Publication status | Published - Feb 2018 |
Publication series
| Name | Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes |
|---|---|
| Publisher | World Scientific Publishing Co. Pte. Ltd. |
| Volume | 1 |
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Abstract
In this survey, we review asymptotic results of some orthogonal polynomials which are relate to the Painlevé transcendents. They are obtained by applying Deift–Zhou’s nonlinear steepest descent method for Riemann–Hilbert problems. In the last part of this chapter, we list several open problems.
Research Area(s)
- Asymptotics, Orthogonal polynomials, Painlevé transcendents, Riemann-Hilbert problems
Citation Format(s)
Asymptotics of Orthogonal Polynomials and the Painlevé Transcendents. / Dai, Dan.
Frontiers in Orthogonal Polynomials and q-Series. ed. / M Zuhair Nashed; Xin Li. WORLD SCIENTIFIC PUBL CO PTE LTD, 2018. p. 189-212 (Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes; Vol. 1).
Frontiers in Orthogonal Polynomials and q-Series. ed. / M Zuhair Nashed; Xin Li. WORLD SCIENTIFIC PUBL CO PTE LTD, 2018. p. 189-212 (Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes; Vol. 1).
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 12 - Chapter in an edited book (Author)
