Best bounds for the Lambert W functions
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Publication:5858276
DOI10.7153/jmi-2020-14-80zbMath1462.33010OpenAlexW3113912995MaRDI QIDQ5858276
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Publication date: 12 April 2021
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/jmi-2020-14-80
Other functions defined by series and integrals (33E20) Monotonic functions, generalizations (26A48) Inequalities involving other types of functions (26D07)
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An inequality for the Riemann zeta function ⋮ Sharp bounds for a ratio of the \(q\)-gamma function in terms of the \(q\)-digamma function ⋮ On the convergence of infinite towers of powers and logarithms for general initial data: applications to Lambert W function sequences
Cites Work
- A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions
- New approximations to the principal real-valued branch of the Lambert \(W\)-function
- On the Lambert \(w\) function
- An infinite class of completely monotonic functions involving the \(q\)-gamma function
- A certain class of approximations for the \(q\)-digamma function
- Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function
- Inequalities involving \(\Gamma (x)\) and \(\Gamma (1/x)\)
- Monotonic functions related to the \(q\)-gamma function
- Sharp bounds for the Lambert W function
- Sharp lower and upper bounds for the q-gamma function
- Improvements of bounds for the q-gamma and the $q$-polygamma functions
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