Approximation for the gamma function via the tri-gamma function

DOI10.1186/S13660-017-1585-7zbMath1386.33004OpenAlexW2771206437WikidataQ47147185 ScholiaQ47147185MaRDI QIDQ1688510

Xiaocui Li, Xu You

Publication date: 8 January 2018

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1585-7

zbMATH Keywords

gamma functioninequalitiesapproximationmultiple-correction method

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Rate of convergence, degree of approximation (41A25)

Cites Work

• Multiple-correction and continued fraction approximation
• New improvements of the Stirling formula
• Multiple-correction and continued fraction approximation. II
• A continued fraction approximation of the gamma function
• Multiple-correction and faster approximation
• Asymptotic formulas and inequalities for the gamma function in terms of the tri-gamma function
• The special functions and their approximations. Vol. I, II
• Product Approximations via Asymptotic Integration

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