Complete characterizations of the gamma function
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Publication:278468
DOI10.1016/j.amc.2014.07.022zbMath1335.33001OpenAlexW1985911143MaRDI QIDQ278468
Wanbiao Ma, Songbai Guo, B. G. Sampath Aruna Pradeep
Publication date: 2 May 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.022
gamma functionseries expansioncomplete monotonicity and strongly complete monotonicitystirling's formula
Related Items (2)
Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function ⋮ A note on complete monotonicity of the remainder in Stirling's formula
Cites Work
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- \(q\)-extensions of some estimates associated with the digamma function
- Asymptotic formulas for the triple gamma function \(\varGamma _{3}\) by means of its integral representation
- A substantial improvement of the Stirling formula
- The asymptotic series of the generalized Stirling formula
- Complete monotonicity results for some functions involving the gamma and polygamma functions
- New improvements of the Stirling formula
- An extension of an inequality for ratios of gamma functions
- Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
- Completely monotonic and related functions
- Remarks on some series expansions associated with certain products of the incomplete Gamma functions
- A continued fraction approximation of the gamma function
- Best estimates of the generalized Stirling formula
- On the monotonicity and convexity of the remainder of the Stirling formula
- Supplements to a class of logarithmically completely monotonic functions associated with the gamma function
- A new asymptotic series for the gamma function
- Some two-sided inequalities for multiple Gamma functions and related results
- Some complete monotonicity properties for the \((p, q)\)-gamma function
- The best rational remainders in the Stirling formula
- A class of logarithmically completely monotonic functions related to the gamma function with applications
- A class of two-sided inequalities involving the psi and polygamma functions
- Superadditive Functions and a Statistical Application
- Completely monotonic functions
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