Orthogonal Polynomials and Their Asymptotic Behavior
Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45) › 32_Refereed conference paper (with ISBN/ISSN) › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the International Workshop |
| Editors | Charles Dunkl, Mourad Ismail, Roderick Wong |
| Publisher | World Scientific Publishing Co. |
| Pages | 409-422 |
| ISBN (Electronic) | 978-981-4492-52-2 |
| ISBN (Print) | 978-981-02-4393-7 |
| Publication status | Published - Oct 2000 |
Link(s)
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(36ca9629-9358-47aa-8bb0-7489704c635f).html |
|---|
Abstract
Orthogonal polynomials play an important role in many problems in physics and
engineering sciences. In this paper, we first review some common properties of
the classical orthogonal polynomials and methods of obtaining their asymptotic
behavior. Then we mention two long-standing problems concerning Jacobi polynomials that have been settled in the last 10 years. Finally, we introduce some non-classical orthogonal polynomials, such as Charlier, Pollaczek, Meixner, and Meixner-Pollaczek polynomials, and present some new results about their symptotic behavior.
engineering sciences. In this paper, we first review some common properties of
the classical orthogonal polynomials and methods of obtaining their asymptotic
behavior. Then we mention two long-standing problems concerning Jacobi polynomials that have been settled in the last 10 years. Finally, we introduce some non-classical orthogonal polynomials, such as Charlier, Pollaczek, Meixner, and Meixner-Pollaczek polynomials, and present some new results about their symptotic behavior.
Citation Format(s)
Orthogonal Polynomials and Their Asymptotic Behavior. / WONG, Sue Cheun Roderick.
Proceedings of the International Workshop. ed. / Charles Dunkl; Mourad Ismail; Roderick Wong. World Scientific Publishing Co., 2000. p. 409-422.Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45) › 32_Refereed conference paper (with ISBN/ISSN) › peer-review
