Some properties of functions related to the gamma, psi and tetragamma functions
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Publication:2428975
DOI10.1016/j.camwa.2011.08.053zbMath1236.33002OpenAlexW1974366410MaRDI QIDQ2428975
Publication date: 22 April 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.08.053
gamma functioninequalitypsi functioncompletely monotonic functionslogarithmically completely monotonic functionstetragamma function
Related Items (6)
On completely monotone of an arbitrary real parameter function involving the gamma function ⋮ Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics ⋮ Approximations for the ratio of the gamma functions via the digamma function and its applications ⋮ Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions ⋮ Completely monotonic functions related to the q-gamma and the q-trigamma functions ⋮ New inequalities for gamma and digamma functions
Cites Work
- The proof of Muqattash-Yahdi conjecture
- Monotonicity properties of functions related to the psi function
- A new Stirling series as continued fraction
- Inequalities for the Euler-Mascheroni constant
- New approximations of the gamma function in terms of the digamma function
- Completely monotonic and related functions
- A complete monotonicity property of the gamma function
- Best estimates of the generalized Stirling formula
- Integral representation of some functions related to the gamma function
- Product Approximations via Asymptotic Integration
- Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function
- A Quicker Convergence to Euler's Constant
- 75.9 Euler’s Constant
- What is the Laplace Transform?
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