Asymptotic Expansion of the Krawtchouk Polynomials and their Zeros
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 189-226 |
| Journal / Publication | Computational Methods and Function Theory |
| Volume | 4 |
| Issue number | 1 |
| Publication status | Published - Aug 2004 |
Link(s)
| DOI | DOI |
|---|---|
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(a8b272bc-b3a7-4d9b-ada3-10198b5aa76d).html |
Abstract
Let K N n (x;p,q) KnN(x;p,q)
be the Krawtchouk polynomials and μ = N/n. An asymptotic expansion is derived for K N n (x;p,q) KnN(x;p,q)
, when x is a fixed number. This expansion holds uniformly for μ in [1,∞), and is given in terms of the confluent hypergeometric functions. Asymptotic approximations are also obtained for the zeros of K N n (x;p,q) KnN(x;p,q)
in various cases depending on the values of p, q and μ.
Citation Format(s)
Asymptotic Expansion of the Krawtchouk Polynomials and their Zeros. / WONG, Sue Cheun Roderick; Qiu, Weiyuan.
In: Computational Methods and Function Theory, Vol. 4, No. 1, 08.2004, p. 189-226.
In: Computational Methods and Function Theory, Vol. 4, No. 1, 08.2004, p. 189-226.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
