Abstract
In this paper, the monotonicity property for two functions involving the logarithmic of the q-gamma function is proven for all \(q>0\). As a consequence, sharp inequalities for the q-gamma function are established. Our results are shown to be as a generalization of results which were obtained by Anderson and Qiu (Proc Am Math Soc 125:3355–3362, 1997).
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The author is very grateful to anonymous referees for their valued suggestions.
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Salem, A. Monotonic functions related to the q-gamma function. Monatsh Math 179, 281–292 (2016). https://doi.org/10.1007/s00605-015-0832-6
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DOI: https://doi.org/10.1007/s00605-015-0832-6