File:Asymptotic representation of Stirling numbers of the second kind (IA asymptoticrepres00blei).pdf

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Asymptotic representation of Stirling numbers of the second kind   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
Bleick, Willard Evan, 1970-;Wang, Peter C.C., 1937-
image of artwork listed in title parameter on this page
Title
Asymptotic representation of Stirling numbers of the second kind
Publisher
Monterey, California : Naval Postgraduate School
Description
Title from cover
"Prepared for: Office of Naval Research, Statistics and Probability Branch"--Cover
"9 February 1977"--Cover
"NPS-53BL77021"--Cover
DTIC Identifiers: Stirling numbers, Hermite functions, Bell numbers, WUNR042286
Author(s) key words: Asymptotic representation, Stirling numbers of the second kind, Bell number, Hermite's formula for a divided difference
Includes bibliographical references (p. 5)
Technical report; 1977
The distribution of the Stirling numbers S(n,k) of the second kind with respect to k has been shown to be asymptotically normal near the mode. A new single-term asymptotic representation of S(n,k), more effective for large k, is given here. It is based on Hermite's formula for a divided difference and the use of sectional areas normal to the body diagonal of a unit hypercube in k-space. A proof is given that the distribution of these areas is asymptotically normal. A numerical comparison is made with the Harper representation for n=200
kmc/kmc 9/9/09

Subjects: SYSTEMS ENGINEERING.; RELIABILITY (ENGINEERING)--MATHEMATICAL MODELS.
Language eng
Publication date 9 February 1977
publication_date QS:P577,+1977-02-09T00:00:00Z/11
Current location
IA Collections: navalpostgraduateschoollibrary; fedlink; americana
Accession number
asymptoticrepres00blei
Notes some content may be lost due to the binding of the book.
Authority file  OCLC: 1039966022
Source
https://archive.org/details/asymptoticrepres00blei
https://archive.org/download/asymptoticrepres00blei/asymptoticrepres00blei.pdf

Licensing

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Public domain
This work is in the public domain in the United States because it is a work prepared by an officer or employee of the United States Government as part of that person’s official duties under the terms of Title 17, Chapter 1, Section 105 of the US Code. Note: This only applies to original works of the Federal Government and not to the work of any individual U.S. state, territory, commonwealth, county, municipality, or any other subdivision. This template also does not apply to postage stamp designs published by the United States Postal Service since 1978. (See § 313.6(C)(1) of Compendium of U.S. Copyright Office Practices). It also does not apply to certain US coins; see The US Mint Terms of Use.
This file has been identified as being free of known restrictions under copyright law, including all related and neighboring rights.

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current14:13, 26 June 2020Thumbnail for version as of 14:13, 26 June 20201,106 × 1,593, 16 pages (669 KB)Fæ (talk | contribs)FEDLINK - United States Federal Collection asymptoticrepres00blei (User talk:Fæ/CCE volumes#Fork8) (batch 1977-1979 #2790)

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