Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0784.11007
Temme, N.M.
Asymptotic estimates of Stirling numbers. (English)
[J] Stud. Appl. Math. 89, No.3, 233-243 (1993). ISSN 0022-2526; ISSN 1467-9590/e

New asymptotic estimates are given for the Stirling numbers $S(m,n)$ of the first and second kind, as $n\to\infty$. The approximations are uniformly valid with respect to $m$. Many previous estimates have been valid only for certain ranges of $m$, e.g. when $n-m$ is small. The method used to obtain the estimates is based on a modification of the saddle method, described in the author's earlier paper [Q. Appl. Math. 43, 103-123 (1985; Zbl 0581.33001)].
[Ian Anderson (Glasgow)]

MSC 2000:: *11B73 Bell and Stirling numbers

Keywords: Stirling numbers of the first and second kind; asymptotic estimates; saddle method

Citations: Zbl 0581.33001

Cited in: Zbl 0952.41019

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