Uniform asymptotic expansion of Charlier polynomials
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 294-313 |
| Journal / Publication | Methods and Applications of Analysis |
| Volume | 1 |
| Issue number | 3 |
| Publication status | Published - 1994 |
| Externally published | Yes |
Link(s)
| Document Link | |
|---|---|
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(59849cf6-7a6f-4a81-8928-732cd416ee60).html |
Abstract
The Charlier polynomials Cn (x) form an orthogonal system on the positive real line x > 0 with respect to the distribution da(x), where a(x) is a step function with jumps at the non-negative integers. Unlike classical orthogonal polynomials, they do not satisfy a second-order linear differential equation. An infinite asymptotic expansion is derived for C^ (nfi), as n —► oo, which holds uniformly for 0<£</3<M<oo. Our result includes as special cases all seven asymptotic formulas recently given by W. M. Y. Goh.
Citation Format(s)
Uniform asymptotic expansion of Charlier polynomials. / Rui, Bo; WONG, Sue Cheun Roderick.
In: Methods and Applications of Analysis, Vol. 1, No. 3, 1994, p. 294-313.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
