Asymptotic approximations for n!

Richard B. Paris

Research output: Contribution to journal › Article

4 Citations (Scopus)
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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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Paris, Richard B. / Asymptotic approximations for n!. In: Applied Mathematical Sciences. 2011.
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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.",
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Paris, RB 2011, 'Asymptotic approximations for n!', Applied Mathematical Sciences.

Asymptotic approximations for n! / Paris, Richard B.

In: Applied Mathematical Sciences, 2011.

Research output: Contribution to journal › Article

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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 -

Paris RB. Asymptotic approximations for n! Applied Mathematical Sciences. 2011.

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