Continued fraction approximation for the gamma function by the tri-gamma function

DOI10.1007/s00025-017-0755-8zbMath1381.33006OpenAlexW2763327241MaRDI QIDQ681266

Xu You

Publication date: 30 January 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-017-0755-8

zbMATH Keywords

gamma functioninequalitiesapproximationcontinued fractionmultiple-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
• Product Approximations via Asymptotic Integration

This page was built for publication: Continued fraction approximation for the gamma function by the tri-gamma function