Asymptotic approximations for n!

Richard B. Paris

Research output: Contribution to journalArticle

4 Citations (Scopus)
23 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 languageEnglish
JournalApplied Mathematical Sciences
Publication statusPublished - 2011

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Asymptotic Approximation
Approximation
Asymptotic series
Gamma function
Polynomial

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Asymptotic approximations for n! / Paris, Richard B.

In: Applied Mathematical Sciences, 2011.

Research output: Contribution to journalArticle

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M3 - Article

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1314-7552

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