Some quicker approximations and inequalities of the Wallis ratio by continued fraction
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Publication:346566
DOI10.1007/S00025-015-0509-4zbMath1351.33002OpenAlexW2195125123MaRDI QIDQ346566
Lixin Song, Dawei Lu, Xin Yu Liu
Publication date: 29 November 2016
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-015-0509-4
Gamma, beta and polygamma functions (33B15) Continued fractions (11A55) Continued fraction calculations (number-theoretic aspects) (11Y65) Convergence and divergence of continued fractions (40A15)
Cites Work
- Some best approximation formulas and inequalities for the Wallis ratio
- Some exact constants for the approximation of the quantity in the Wallis' formula
- A new Stirling series as continued fraction
- A new fast asymptotic series for the gamma function
- A continued fraction approximation of the gamma function
- Product Approximations via Asymptotic Integration
- The best bounds in Wallis’ inequality
- On some inequalities for the gamma and psi functions
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