Asymptotic approximations for n!

Richard B. Paris

Asymptotic approximations for n!

Richard B. Paris

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

56 Downloads (Pure)

Abstract

Several approximations for n! have recently appeared in the literature. We show here how these approximations can be derived by expansion of certain polynomials in inverse powers of n and comparison with Stirling’s asymptotic series. Some new approximations are also given. The same procedure is applied to generate approximations for the ratio of two gamma functions.

Original language	English
Journal	Applied Mathematical Sciences
Publication status	Published - 2011

Access to Document

Paris_AsymptoticApproximationsFor n!_Published_2011Final published version, 83.2 KBLicence: CC BY

http://www.m-hikari.com/ams/ams-2011/ams-37-40-2011/index.htmlLicence: CC BY

Fingerprint Dive into the research topics of 'Asymptotic approximations for n!'. Together they form a unique fingerprint.

Cite this

@article{558659682ee54baba09eec47c092e98c,

title = "Asymptotic approximations for n!",

abstract = "Several approximations for n! have recently appeared in the literature. We show here how these approximations can be derived by expansion of certain polynomials in inverse powers of n and comparison with Stirling{\textquoteright}s asymptotic series. Some new approximations are also given. The same procedure is applied to generate approximations for the ratio of two gamma functions.",

author = "Paris, {Richard B.}",

year = "2011",

language = "English",

journal = "Applied Mathematical Sciences",

issn = "1314-7552",

}

TY - JOUR

T1 - Asymptotic approximations for n!

AU - Paris, Richard B.

PY - 2011

Y1 - 2011

N2 - Several approximations for n! have recently appeared in the literature. We show here how these approximations can be derived by expansion of certain polynomials in inverse powers of n and comparison with Stirling’s asymptotic series. Some new approximations are also given. The same procedure is applied to generate approximations for the ratio of two gamma functions.

AB - Several approximations for n! have recently appeared in the literature. We show here how these approximations can be derived by expansion of certain polynomials in inverse powers of n and comparison with Stirling’s asymptotic series. Some new approximations are also given. The same procedure is applied to generate approximations for the ratio of two gamma functions.

M3 - Article

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1314-7552

ER -