An ultimate extremely accurate formula for approximation of the factorial function

DOI10.1007/s00013-009-0008-5zbMath1186.40004OpenAlexW2000686567MaRDI QIDQ1039939

Cristinel Mortici

Publication date: 23 November 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0008-5

zbMATH Keywords

Stirling's formulaGamma functiondigamma functionfactorial functionnumeric seriesBurnside's formula and inequalities

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation to limiting values (summation of series, etc.) (40A25) Numerical approximation and evaluation of special functions (33F05) Inequalities involving other types of functions (26D07)

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Cites Work

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• Inequalities for the gamma function
• On certain inequalities involving the constant \(e\) and their applications
• SHARP INEQUALITIES FOR FACTORIAL n
• Improving Stirling's formula

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