Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0846.41025
Bo, Rui; Wong, R.
Uniform asymptotic expansion of Charlier polynomials. (English)
[J] Methods Appl. Anal. 1, No.3, 294-313 (1994). ISSN 1073-2772

Summary: The Charlier polynomials $C_n^{(a)} (x)$ form an orthogonal system on the positive real line $x>0$ with respect to the distribution $d\alpha (x)$, where $\alpha (x)$ 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 $C_n^{(a)} (n\beta)$, as $n\to \infty$, which holds uniformly for $0< \varepsilon\leq \beta\leq M< \infty$. Our result includes as special cases all seven asymptotic formuals recently given by W. M. Y. Goh.

MSC 2000:: *41A60 Asymptotic problems in approximation
33C45 Orthogonal polynomials and functions of hypergeometric type

Keywords: Charlier polynomials

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]