A quicker approximation of the gamma function towards the Windschitl's formula by continued fraction

DOI10.1007/S11139-017-9974-6zbMath1408.41007OpenAlexW2789717067MaRDI QIDQ1733365

Hongzeng Wang, Dawei Lu, Zhang, Qingling

Publication date: 21 March 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-017-9974-6

zbMATH Keywords

gamma functioncontinued fractionStirling's formulaWindschitl's formula

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Approximation by rational functions (41A20)

Cites Work

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• A quicker continued fraction approximation of the gamma function related to the Windschitl's formula
• Ramanujan's estimate for the gamma function via monotonicity arguments
• A new Stirling series as continued fraction
• A general asymptotic formula of the gamma function based on the Burnside's formula
• A new fast asymptotic series for the gamma function
• On new sequences converging towards the Euler-Mascheroni constant
• New asymptotic expansion for the gamma function
• A new continued fraction approximation and inequalities for the gamma function via the tri-gamma function
• A continued fraction approximation of the gamma function
• Product Approximations via Asymptotic Integration
• Very accurate estimates of the polygamma functions
• Sharp upper and lower bounds for the gamma function
• On some inequalities for the gamma and psi functions

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