Sharp lower and upper bounds for the q-gamma function
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Publication:5139878
DOI10.7153/mia-2020-23-69zbMath1453.33011OpenAlexW3046535955MaRDI QIDQ5139878
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Publication date: 11 December 2020
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-2020-23-69
Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities involving other types of functions (26D07)
Related Items (5)
A harmonic mean inequality for the \(q\)-gamma function ⋮ Inequalities for Taylor series involving the divisor function ⋮ Sharp bounds for a ratio of the \(q\)-gamma function in terms of the \(q\)-digamma function ⋮ Functional inequalities for the \(q\)-digamma function ⋮ Best bounds for the Lambert W functions
Cites Work
- Unnamed Item
- \(q\)-extensions of some estimates associated with the digamma function
- A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions
- Completely monotonic functions related to the gamma and the \(q\)-gamma functions
- Some monotonicity properties of gamma and \(q\)-gamma functions
- The q-analogue of Stirling's formula
- Inequalities for the gamma and \(q\)-gamma functions
- The \(q\)-gamma function for \(q>1\)
- Convexity and \(q\)-gamma function
- Summations for basic hypergeometric series involving a \(q\)-analogue of the digamma function
- Monotonicity properties of \(q\)-digamma and \(q\)-trigamma functions
- 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
- Monotonic functions related to the \(q\)-gamma function
- Some classes of completely monotonic functions related to q-gamma and q-digamma functions
- Completely monotonic functions involving the gamma and $q$-gamma functions
- Sharp bounds for the Lambert W function
- Inequalities and monotonicity properties for gamma and q-gamma functions
- Complete monotonicity properties of functions involving q-gamma and q-digamma functions
- Complete Monotonicity property for two functions related to the q-digamma function
- Completely monotonic functions related to the q-gamma and the q-trigamma functions
- Improvements of bounds for the q-gamma and the $q$-polygamma functions
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