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INEQUALITIES ASSOCIATED WITH RATIOS OF GAMMA FUNCTIONS
Published online by Cambridge University Press: 23 April 2018
Abstract
We use properties of the gamma function to estimate the products $\prod _{k=1}^{n}(4k-3)/4k$ and $\prod _{k=1}^{n}(4k-1)/4k$, motivated by the work of Chen and Qi [‘Completely monotonic function associated with the gamma function and proof of Wallis’ inequality’, Tamkang J. Math.36(4) (2005), 303–307] and Mortici et al. [‘Completely monotonic functions and inequalities associated to some ratio of gamma function’, Appl. Math. Comput.240 (2014), 168–174].
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- Research Article
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- © 2018 Australian Mathematical Publishing Association Inc.
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