An infinite class of completely monotonic functions involving the \(q\)-gamma function
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Publication:2257523
DOI10.1016/j.jmaa.2013.04.059zbMath1306.33023OpenAlexW1988564027MaRDI QIDQ2257523
Publication date: 25 February 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.04.059
inequalitiesBernoulli number\(q\)-gamma functioncompletely monotonic functions\(q\)-polygamma functions
Related Items (12)
Monotonic functions related to the \(q\)-gamma function ⋮ A harmonic mean inequality for the \(q\)-gamma function ⋮ Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function ⋮ Sharp lower and upper bounds for the q-gamma function ⋮ Completely monotonic functions related to the gamma and the \(q\)-gamma functions ⋮ Monotonicity properties of \(q\)-digamma and \(q\)-trigamma functions ⋮ Some conditions for a class of functions to be completely monotonic ⋮ Complete Monotonicity property for two functions related to the q-digamma function ⋮ Sharp bounds for a ratio of the \(q\)-gamma function in terms of the \(q\)-digamma function ⋮ Completely monotonic functions related to the q-gamma and the q-trigamma functions ⋮ Functional inequalities for the \(q\)-digamma function ⋮ Best bounds for the Lambert W functions
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