On the monotonicity and convexity of the remainder of the Stirling formula
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Publication:2430040
DOI10.1016/J.AML.2010.12.034zbMath1216.33008OpenAlexW2058968019MaRDI QIDQ2430040
Publication date: 5 April 2011
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2010.12.034
Related Items (7)
Complete characterizations of the gamma function ⋮ On Stirling's formula remainder ⋮ Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions ⋮ Unnamed Item ⋮ 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
- Unnamed Item
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- The proof of Muqattash-Yahdi conjecture
- A class of integral approximations for the factorial function
- An ultimate extremely accurate formula for approximation of the factorial function
- Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\)
- Inequalities for the gamma and polygamma functions
- A new asymptotic series for the gamma function
- Leonhard Euler's Integral: A Historical Profile of the Gamma Function: In Memoriam: Milton Abramowitz
- Very accurate estimates of the polygamma functions
- Some Gamma Function Inequalities
- On some inequalities for the gamma and psi functions
- What is the Laplace Transform?
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